Simeon Reich List of Publications

List of Publications

D.Sc. Thesis

  1. On the fixed point theorems of Banach and Schauder, 1973. Dissertation Abstracts International, Volume 34, No. 11, Ann Arbor, MI, 1974.

 Papers in Journals

1968

  1. S. Reich, On the rational positive solutions of $m\sp n = n\sp m$ with $m > n$, Amer. Math. Monthly75 (1968), 1104.

1969

  1. S. Reich, On mean value theorems, Amer. Math. Monthly76 (1969), 70–73.

1970

  1. S. Reich, Two-dimensional lattices and convex domains, Math. Mag.43 (1970), 219–220.
  2. S. Reich, On Aitken’s $\triangle \sp{2}$-method, Amer. Math. Monthly77 (1970), 283–284.
  3. S. Reich, Squares in a triangle, Math. Gaz.54 (1970), 145.

1971

  1. S. Reich, Some remarks concerning contraction mappings, Canad. Math. Bull.14 (1971), 121–124.
  2. S. Reich, Schwarz differentiability and differentiability, Math. Mag.44 (1971), 214–216.
  3. S. Reich, On a problem in number theory, Math. Mag.44 (1971), 277–278.
  4. S. Reich, Kannan’s fixed point theorem, Boll. Un. Mat. Ital. 4 (1971), 1–11.
  5. S. Reich, Characteristic vectors of nonlinear operators, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 50 (1971), 682–685.
  6. S. Reich, A fixed point theorem in locally convex spaces, Bull. Calcutta Math. Soc.63 (1971), 199–200.
  7. S. Reich, A fixed point theorem, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 51 (1971), 26–28.
  8. S. Reich, Fixed points of multi-valued functions, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 51 (1971), 32–35.
  9. S. Reich, Fixed points in complete metric spaces, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 51 (1971), 270–273.
  10. S. Reich, Another solution of an old problem of Polya, Amer. Math. Monthly78 (1971), 649–650.
  11. S. Reich, Nets and uniform continuity, Delta 2(1971), 20–23.
  12. S. Reich, On an inequality for the perimeter of the orthic triangle, Delta 2(1971), 34-35.

1972

  1. S. Reich, Fixed points in locally convex spaces, Math. Z.125 (1972), 17–31.
  2. S. Reich, Fixed points of contractive functions, Boll. Un. Mat. Ital.5 (1972), 26–42.
  3. S. Reich, A fixed point theorem for locally contractive multi-valued functions, Rev. Roumaine Math. Pures Appl.17 (1972), 569–572.
  4. S. Reich, Some remarks on fixed point sets, Delta3 (1972), 38–43.
  5. S. Reich, Remarks on fixed points, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.52 (1972), 689–697.
  6. S. Reich, Remarks on fixed points II, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.53 (1972), 250–254.

1973

  1. S. Reich, Fixed points of condensing functions, J. Math. Anal. Appl.41 (1973), 460–467.
  2. S. Reich, A remark on $C\sb{\sigma}$ spaces, Proc. Amer. Math. Soc.40 (1973), 215–216.
  3. S. Reich, Fixed points of nonexpansive functions, J. London Math. Soc. 7(1973), 5–10.
  4. S. Reich, Asymptotic behavior of contractions in Banach spaces, J. Math. Anal. Appl.44 (1973), 57–70.
  5. S. Reich, Iterative solution of linear operator equations in Banach spaces, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.54 (1973), 551–554.
  6. S. Reich, Extreme invariant operators, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.55 (1973), 31–36.
  7. S. Reich, Fixed points via Toeplitz iteration, Bull. Calcutta Math. Soc. 65(1973), 203–207.

1974

  1. S. Reich, Quasi-cliques, Delta 4(1974), 26–28.
  2. S. Reich, A Poincaré type coincidence theorem, Amer. Math. Monthly81 (1974), 52–53.
  3. S. Reich, Asymptotic behavior of semigroups of nonlinear contractions in Hilbert spaces, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.56 (1974), 866–872.
  4. S. Reich, Some fixed point problems, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.57 (1974), 194–198.

1975

  1. S. Reich, Fixed point iterations of nonexpansive mappings, Pacific J. Math.60 (2) (1975), 195–198.
  2. S. Reich, Minimal displacement of points under weakly inward pseudo-Lipschitzian mappings, I, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.59 (1975), 40–44.
  3. S. Reich, Approximating zeros of accretive operators, Proc. Amer. Math. Soc.51 (1975), 381–384.

1976

  1. S. Reich, Asymptotic behavior of semigroups of nonlinear contractions in Banach spaces, J. Math. Anal. Appl.53 (1976), 277–290.
  2. S. Reich, On fixed point theorems obtained from existence theorems for differential equations, J. Math. Anal. Appl.54 (1976), 26–36.
  3. S. Reich, Minimal displacement of points under weakly inward pseudo-Lipschitzian mappings, II, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 60(1976), 95–96.
  4. S. Reich, A remark on set-valued mappings that satisfy the Leray-Schauder condition, I, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 61(1976), 193–194.
  5. S. Reich, The fixed point property for nonexpansive mappings, I, Amer. Math. Monthly83 (1976), 266–268.

1977

  1. R. E. Bruck and S. Reich, Nonexpansive projections and resolvents of accretive operators in Banach spaces, Houston J. Math.3 (1977), 459–470.
  2. S. Reich, Nonlinear evolution equations and nonlinear ergodic theorems, Nonlinear Anal.1 (1976), 319–330.
  3. S. Reich, Extension problems for accretive sets in Banach spaces, J. Funct. Anal.26 (1977), 378–395.
  4. S. Reich, A minimal displacement problem, Comment. Math. Univ. St. Paul.26 (1977), 131–135.
  5. S. Reich, A remark on the minimum property, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.62 (1977), 740–741.
  6. S. Reich, On infinite products of resolvents, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.63 (1977), 338–340.

1978

  1. J. B. Baillon, R. E. Bruck and S. Reich, On the asymptotic behavior of nonexpansive mappings and semigroups in Banach spaces, Houston J. Math.4 (1978), 1–9.
  2. S. Reich, Approximate selections, best approximations, fixed points, and invariant sets, J. Math. Anal. Appl.62 (1978), 104–113.
  3. S. Reich, Almost convergence and nonlinear ergodic theorems, J. Approx. Theory24 (1978), 269–272.
  4. S. Reich, A random fixed-point theorem for set-valued mappings, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.64 (1978), 65–66.
  5. S. Reich, An iterative procedure for constructing zeros of accretive sets in Banach spaces, Nonlinear Anal.2 (1978), 85–92.

1979

  1. S. Reich, Weak convergence theorems for nonexpansive mappings in Banach spaces, J. Math. Anal. Appl.67 (1979), 274–276.
  2. S. Reich, Constructing zeros of accretive operators, I, Applicable Anal.8 (1979), 349–352.
  3. O. Nevanlinna and S. Reich, Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces, Israel J. Math.32 (1979), 44–58.
  4. S. Reich, The range of sums of accretive and monotone operators, J. Math. Anal. Appl.68 (1979), 310–317.
  5. S. Reich, Fixed point theorems for set-valued mappings, J. Math. Anal. Appl.69 (1979), 353–358.
  6. S. Reich, Constructing zeros of accretive operators, II, Applicable Anal.9 (1979), 159–163.
  7. S. Reich, A remark on set-valued mappings that satisfy the Leray-Schauder condition, II, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 66(1979), 1–2.
  8. S. Reich, Asymptotic behavior of resolvents in Banach spaces, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.67 (1979), 27–30.
  9. S. Reich, A remark on a problem of Asplund, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.67 (1979), 204–205.

1980

  1. S. Reich, A solution to a problem on the asymptotic behavior of nonexpansive mappings and semigroups, Proc. Japan Acad. Ser. A Math. Sci.56 (1980), 85–87.
  2. H. G. Kaper, G. K. Leaf and S. Reich, Convergence of semigroups with an application to the Carleman equation, Math. Methods Appl. Sci.2 (1980), 303–308.
  3. R. E. Bruck and S. Reich, A general convergence principle in nonlinear functional analysis, Nonlinear Anal.4 (1980), 939–950.
  4. S. Reich, Product formulas, nonlinear semigroups, and accretive operators, J. Funct. Anal.36 (1980), 147–168.
  5. S. Reich and R. Torrejón, Zeros of accretive operators, Comment. Math. Univ. Carolin.21 (1980), 619–625.
  6. S. Reich, Convergence and approximation of nonlinear semigroups, J. Math. Anal. Appl. 76(1980), 77–83.
  7. S. Reich, Strong convergence theorems for resolvents of accretive operators in Banach spaces, J. Math. Anal. Appl.75 (1980), 287–292.
  8. S. Reich, A fixed point theorem for Fréchet spaces, J. Math. Anal. Appl.78 (1980), 33–35.
  9. S. Reich, The fixed point property for nonexpansive mappings, II, Amer. Math. Monthly87 (1980), 292–294.

1981

  1. S. Reich, On the asymptotic behavior of nonlinear semigroups and the range of accretive operators, I, J. Math. Anal. Appl.79 (1981), 113–126.
  2. B. Calvert and S. Reich, A characterization of smooth Banach spaces, Proc. Japan Acad. Ser. A Math. Sci.57 (1981), 450–453.
  3. S. Reich, A characterization of nonlinear $\Phi$-accretive operators, Manuscripta Math.36 (1981), 163–178.
  4. S. Reich, A nonlinear Hille-Yosida theorem in Banach spaces, J. Math. Anal. Appl.84 (1981), 1–5.
  5. M. M. Israel Jr. and S. Reich, Asymptotic behavior of solutions of a nonlinear evolution equation, J. Math. Anal. Appl. 83(1981), 43–53.
  6. R. E. Bruck and S. Reich, Accretive operators, Banach limits, and dual ergodic theorems, Bull. Acad. Polon. Sci. Sér. Sci. Math. 29(1981), 585–589.

1982

  1. S. Reich, On the asymptotic behavior of nonlinear semigroups and the range of accretive operators, II, J. Math. Anal. Appl. 87(1982), 134–146.
  2. B. Calvert and S. Reich, A note on resolvent consistency, Bull. Inst. Math. Acad. Sinica10 (1982), 61–67.
  3. S. Reich, A complement to Trotter’s product formula for nonlinear semigroups generated by the subdifferentials of convex functionals, Proc. Japan Acad. Ser. A Math. Sci.58 (1982), 193–195.
  4. K. Goebel and S. Reich, Iterating holomorphic self-mappings of the Hilbert ball, Proc. Japan Acad. Ser. A Math. Sci.58 (1982), 349–352.
  5. A. T. Plant and S. Reich, Nonlinear rotative semigroups, Proc. Japan Acad. Ser. A Math. Sci.58 (1982), 398–401.
  6. R. E. Bruck, W. A. Kirk and S. Reich, Strong and weak convergence theorems for locally nonexpansive mappings in Banach spaces, Nonlinear Anal. 6(1982), 151-155.

1983

  1. M. M. Israel Jr. and S. Reich, Extension and selection problems for nonlinear semigroups in Banach spaces, Math. Japon.28 (1983), 1–8.
  2. S. Reich, Solutions of two problems of H. Brezis, J. Math. Anal. Appl.95 (1983), 243–250.
  3. S. Reich, A note on the mean ergodic theorem for nonlinear semigroups, J. Math. Anal. Appl. 91(1983), 547–551.
  4. S. Reich, The almost fixed point property for nonexpansive mappings, Proc. Amer. Math. Soc.88 (1983), 44–46.
  5. A. T. Plant and S. Reich, The asymptotics of nonexpansive iterations, J. Funct. Anal. 54(1983), 308–319.
  6. S. Reich, A limit theorem for projections, Linear and Multilinear Algebra13 (1983), 281–290.

1984

  1. S. Reich, New results concerning accretive operators and nonlinear semigroups, J. Math. Phys. Sci.18 (1984), 91–97.
  2. D. S. Hulbert and S. Reich, Asymptotic behavior of solutions to nonlinear Volterra integral equations, J. Math. Anal. Appl.104 (1984), 155–172.

1985

  1. S. Reich, Averaged mappings in the Hilbert ball, J. Math. Anal. Appl.109 (1985), 199–206.

1986

  1. E. I. Poffald and S. Reich, An incomplete Cauchy problem, J. Math. Anal. Appl. 113(1986), 514–543.

1987

  1. S. Reich, Admissible pairs and integral equations, J. Math. Anal. Appl. 121(1987), 79–90.
  2. S. Reich and I. Shafrir, The asymptotic behavior of firmly nonexpansive mappings, Proc. Amer. Math. Soc.101 (1987), 246–250.

1988

  1. H. T. Banks, S. Reich and I. G. Rosen, Parameter estimation in nonlinear distributed systems-approximation theory and convergence results, Appl. Math. Lett.1 (1988), 211–216.

1990

  1. H. T. Banks, S. Reich and I. G. Rosen, An approximation theory for the identification of nonlinear distributed parameter systems, SIAM J. Control Optim.28 (1990), 552–569.
  2. M. A. Khamsi and S. Reich, Nonexpansive mappings and semigroups in hyperconvex spaces, Math. Japon. 35(1990), 467–471.
  3. M. A. Khamsi, W. M. Kozƚowski and S. Reich, Fixed point theory in modular function spaces, Nonlinear Anal.14 (1990), 935–953.
  4. S. Aizicovici, S.O. Londen and S. Reich, Asymptotic behavior of solutions to a class of nonlinear Volterra equations, Differential Integral Equations 3(1990), 813–825.
  5. S. Reich and I. Shafrir, Nonexpansive iterations in hyperbolic spaces,Nonlinear Anal. 15 (1990), 537–558.
  6. H. T. Banks, S. Reich and I. G. Rosen, Estimation of nonlinear damping in second order distributed parameter systems, Control Theory Adv. Tech.6 (1990), 395–415.

1991

  1. J. M. Dye, M. A. Khamsi and S. Reich, Random products of contractions in Banach spaces, Trans. Amer. Math. Soc.325 (1991), 87–99.
  2. J. M. Dye and S. Reich, On the unrestricted iteration of projections in Hilbert space, J. Math. Anal. Appl.156 (1991), 101–119.
  3. S. Reich, The asymptotic behavior of a class of nonlinear semigroups in the Hilbert ball, J. Math. Anal. Appl.157 (1991), 237–242.
  4. H. T. Banks, S. Reich and I. G. Rosen, Galerkin approximation for inverse problems for nonautonomous nonlinear distributed systems, Appl. Math. Optim.24 (1991), 233–256.
  5. S. Reich and I. Shafrir, An existence theorem for a difference inclusion in general Banach spaces, J. Math. Anal. Appl.160 (1991), 406–412.

1992

  1. J. M. Dye and S. Reich, Unrestricted iterations of nonexpansive mappings in Hilbert space, Nonlinear Anal.18 (1992), 199–207.
  2. J. Borwein, S. Reich and I. Shafrir, Krasnoselski-Mann iterations in normed spaces, Canad. Math. Bull. 35(1992), 21–28.
  3. S. Reich, Approximating fixed points of holomorphic mappings, Math. Japon.37 (1992), 457–459.
  4. S. Aizicovici and S. Reich, Anti-periodic solutions to difference inclusions in Banach spaces, Dynam. Systems Appl. 1(1992), 121–130.
  5. J. M. Dye and S. Reich, Unrestricted iterations of nonexpansive mappings in Banach spaces, Nonlinear Anal.19 (1992), 983–992.

1993

  1. T. Kuczumow, S. Reich and M. Schmidt, A fixed point property of $l\sb 1$-product spaces, Proc. Amer. Math. Soc.119 (1993), 457–463.
  2. S. Reich, The alternating algorithm of von Neumann in the Hilbert ball, Dynam. Systems Appl.2 (1993), 21–25.
  3. S. Aizicovici, S. Reich and I. G. Rosen, An approximation theory for the identification of nonlinear Volterra equations, Numer. Funct. Anal. Optim.14 (1993), 213–227.
  4. R. E. Bruck, T. Kuczumow and S. Reich, Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property, Colloq. Math. 65(1993), 169–179.
  5. T. Kuczumow, S. Reich, M. Schmidt, and A. Stachura, Strong asymptotic normal structure and fixed points in product spaces, Nonlinear Anal.21 (1993), 501–515.

1994

  1. T. Kuczumow, S. Reich and A. Stachura, Minimal displacement of points under holomorphic mappings and fixed point properties for unions of convex sets, Trans. Amer. Math. Soc.343 (1994), 575–586.
  2. C. Mao, S. Reich and I. G. Rosen, Approximation in the identification of nonlinear degenerate distributed parameter systems, Nonlinear Anal. 22(1994), 91–120.
  3. T. Kuczumow, S. Reich, M. Schmidt, and A. Stachura, The product retraction property for the $c\sb 0$-product of countably many metric spaces, Math. Japon.39 (1994), 73–79.
  4. S. Reich, Approximating fixed points of nonexpansive mappings, Panamer. Math. J.4 (1994), 23–28.
  5. Ya. I. Alʹber and S. Reich, An iterative method for solving a class of nonlinear operator equations in Banach spaces, Panamer. Math. J.4 (1994), 39–54.
  6. T. Kuczumow and S. Reich, Opial’s property and James’ quasi-reflexive spaces, Comment. Math. Univ. Carolin.35 (1994), 283–289.
  7. S. Reich and H. K. Xu, Nonlinear ergodic theory for semigroups of Lipschitzian mappings, Comm. Appl. Nonlinear Anal.1 (1994), 47–60.

1995

  1. Y. S. Lee and S. Reich, Convergence of nonlinear algorithms, J. Korean Math. Soc.32 (1995), 115–139.
  2. Y. S. Lee and S. Reich, Convergence of accretive operators and nonlinear semigroups, Comm. Appl. Nonlinear Anal. 2(1995), 11–46.
  3. V. Khatskevich, S. Reich and D. Shoĭkhet, Fixed point theorems for holomorphic mappings and operator theory in indefinite metric spaces, Integral Equations Operator Theory22 (1995), 305–316.

1996

  1. J. M. Dye, T. Kuczumow, P. K. Lin and S. Reich, Convergence of unrestricted products of nonexpansive mappings in spaces with the Opial property, Nonlinear Anal.26 (1996), 767–773.
  2. S. Reich and D. Shoikhet, Generation theory for semigroups of holomorphic mappings in Banach spaces, Abstr. Appl. Anal.1 (1996), 1–44.
  3. V. Khatskevich, S. Reich and D. Shoikhet, A global implicit function theorem and fixed point theorems for holomorphic mappings and semigroups, (Russian) Dokl. Akad. Nauk347 (1996), 743–745.
  4. Y. Censor and S. Reich, Iterations of paracontractions and firmly nonexpansive operators with applications to feasibility and optimization, Optimization 37(1996), 323–339.
  5. L. Aizenberg, S. Reich and D. Shoikhet, One-sided estimates for the existence of null points of holomorphic mappings in Banach spaces,J. Math. Anal. Appl. 203 (1996), 38–54.
  6. V. Khatskevich, S. Reich and D. Shoikhet, Global implicit function and fixed point theorems for holomorphic mappings and semigroups, Complex Variables Theory Appl.28 (1996), 347–356.

1997

  1. D. Butnariu, Y. Censor and S. Reich, Iterative averaging of entropic projections for solving stochastic convex feasibility problems, Comput. Optim. Appl.8 (1997), 21–39.
  2. V. Khatskevich, S. Reich and D. Shoikhet, Complex dynamical systems on bounded symmetric domains, Electron. J. Differential Equations1997, 9 pp.
  3. S. Reich and D. Shoikhet, Results and conjectures in holomorphic fixed point theory, Proceedings of the Second World Congress of Nonlinear Analysts, Part 6 (Athens, 1996). Nonlinear Anal.30 (1997), 3529–3538.
  4. S. Reich and D. Shoikhet, Semigroups and generators on convex domains with the hyperbolic metric, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.8 (1997), 231–250.
  5. V. Khatskevich, S. Reich and D. Shoikhet, Semi-complete holomorphic vector fields on homogeneous open unit balls in Banach spaces, Ann. Univ. Mariae Curie–Sklodowska51 (1997), 143–148.
  6. T. Kuczumow and S. Reich, An application of Opial’s modulus to the fixed point theory of semigroups of Lipschitzian mappings, Ann. Univ. Mariae Curie–Sklodowska51 (1997), 185–192.
  7. S. Reich and D. Shoikhet, The Denjoy-Wolff theorem, Ann. Univ. Mariae Curie–Sklodowska51 (1997), 219–240.

1998

  1. V. Khatskevich, S. Reich and D. Shoikhet, Asymptotic behavior of solutions of evolution equations and the construction of holomorphic retractions, Math. Nachr.189 (1998), 171–178.
  2. M. Böhm, M. A. Demetriou, S. Reich and I. G. Rosen, Model reference adaptive control of distributed parameter systems, SIAM J. Control Optim.36 (1998), 33–81.
  3. S. Reich and D. Shoikhet, Averages of holomorphic mappings and holomorphic retractions on convex hyperbolic domains, Studia Math.130 (1998), 31–244.
  4. Y. Censor and S. Reich, The Dykstra algorithm with Bregman projections, Commun. Appl. Anal.2 (1998), 407–419.
  5. A. S. Ackleh and S. Reich, Parameter estimation in nonlinear evolution equations, Numer. Funct. Anal. Optim.19 (1998), 933–947. Corrigendum: Numer. Funct. Anal. Optim. 20 (1999), 1003–1004.
  6. S. Reich and D. Shoikhet, A characterization of holomorphic generators on the Cartesian product of Hilbert balls, Taiwanese J. Math.2 (1998), 383–396.
  7. M. Budzyńska, T. Kuczumow and S. Reich, Uniform asymptotic normal structure, the uniform semi-Opial property and fixed points of asymptotically regular uniformly Lipschitzian semigroups I, Abstr. Appl. Anal.3 (1998), 133–151.
  8. S. Reich and D. Shoikhet, Metric domains, holomorphic mappings and nonlinear semigroups, Abstr. Appl. Anal.3 (1998), 203–228.
  9. M. Budzyńska, T. Kuczumow and S. Reich, Uniform asymptotic normal structure, the uniform semi-Opial property, and fixed points of asymptotically regular uniformly Lipschitzian semigroups II, Abstr. Appl. Anal.3 (1998), 247–263.

1999

  1. S. Aizicovici and S. Reich, Antiperiodic solutions to a class of non-monotone evolution equations, Discrete Contin. Dynam. Systems5 (1999), 35–42.
  2. S. Aizicovici, Y. Q. Chen and S. Reich, Accretive operators in locally convex spaces, Panamer. Math. J.9 (1999), 1–10.
  3. S. Reich and A. J. Zaslavski, Convergence of generic infinite products of order-preserving mappings, Positivity3 (1999), 1–21.
  4. J. Kapeluszny, T. Kuczumow and S. Reich, The Denjoy-Wolff theorem in the open unit ball of a strictly convex Banach space, Adv. Math.143 (1999), 111–123.
  5. S. Reich and A. J. Zaslavski, Convergence of generic infinite products of nonexpansive and uniformly continuous operators, Nonlinear Anal.36 (1999), 1049–1065.
  6. S. Reich and D. Shoikhet, An interior flow invariance condition for nonlinear semigroups on convex domains in Banach spaces, Numer. Funct. Anal. Optim.20 (1999), 333–339.
  7. J. Kapeluszny, T. Kuczumow and S. Reich, The Denjoy-Wolff theorem for condensing holomorphic mappings, J. Funct. Anal.167 (1999), 79–93.
  8. S. Reich and A. J. Zaslavski, Generic convergence of infinite products of positive linear operators, Integral Equations Operator Theory35 (1999), 232–252.
  9. D. Butnariu, S. Reich and A. J. Zaslavski, Generic power convergence of operators in Banach spaces, Numer. Funct. Anal. Optim.20 (1999), 629–650.
  10. S. Reich and A. J. Zaslavski, Convergence of generic infinite products of homogeneous order-preserving mappings, Discrete Contin. Dynam. Systems5 (1999), 929–945.
  11. L. M. Bregman, Y. Censor and S. Reich, Dykstra’s algorithm as the nonlinear extension of Bregman’s optimization method, J. Convex Anal.6 (1999), 319–333.
  12. D. Aharonov, M. Elin, S. Reich and D. Shoikhet, Parametric representations of semi-complete vector fields on the unit balls in $C\sp n$ and in Hilbert space, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.10 (1999), 229–253.
  13. S. Reich and A. J. Zaslavski, Convergence of generic infinite products of affine operators, Abstr. Appl. Anal.4 (1999), 1–9.
  14. D. Aharonov, S. Reich and D. Shoikhet, Flow invariance conditions for holomorphic mappings in Banach spaces, Math. Proc. R. Ir. Acad.99A (1999), 93–104.

2000

  1. S. Reich and A. J. Zaslavski, Asymptotic behavior of dynamical systems with a convex Lyapunov function, J. Nonlinear Convex Anal. 1(2000), 107–113.
  2. W. Kaczor, T. Kuczumow and S. Reich, A mean ergodic theorem for nonlinear semigroups which are asymptotically nonexpansive in the intermediate sense, J. Math. Anal. Appl.246 (2000), 1–27.
  3. M. A. Demetriou, A. S. Ackleh and S. Reich, Detection and accommodation of second order distributed parameter systems with abrupt changes in the input term, existence and approximation, Kybernetika 36 (2000), 117–132.
  4. Y. Alber, S. Guerre-Delabriere and S. Reich, Convergence of averaged approximations to null points of a class of nonlinear mappings, Comm. Appl. Nonlinear Anal.7 (2000), 1–20.
  5. S. Reich, A. Rubinov and A. J. Zaslavski, Generic power convergence of order-perserving mappings, Nonlinear Anal.40 (2000), 537–547.
  6. S. Reich and A. J. Zaslavski, Almost all nonexpansive mappings are contractive, C. R. Math. Acad. Sci. Soc. R. Can. 22(2000), 118–124.
  7. A. S. Ackleh, S. Aizicovici and S. Reich, Parameter identification in nonlocal nonlinear evolution equations, Numer. Funct. Anal. Optim.21 (2000), 553–570.
  8. S. Reich and A. J. Zaslavski, Infinite products of resolvents of accretive operators, Topol. Methods Nonlinear Anal.15 (2000), 153–168.
  9. M. Elin, S. Reich and D. Shoikhet, Holomorphically accretive mappings and spiral-shaped functions of proper contractions, Nonlinear Anal. Forum5 (2000), 149–161.
  10. L.A. Harris, S. Reich and D. Shoikhet, Dissipative holomorphic functions, Bloch radii, and the Schwarz lemma, J. Anal. Math.82 (2000), 221–232.
  11. S. Reich and A. J. Zaslavski, Convergence of Krasnoselskii-Mann iterations of nonexpansive operators, Math. Comput. Modelling32 (2000), 1423–1431.
  12. S. Reich and A. J. Zaslavski, Generic convergence of descent methods in Banach spaces, Math. Oper. Res.25 (2000), 231–242.

2001

  1. T. Kuczumow, S. Reich and D. Shoikhet, The existence and non-existence of common fixed points for commuting families of holomorphic mappings, Nonlinear Anal.43 (2001), 45–59.
  2. S. Aizicovici, M. McKibben and S. Reich, Anti-periodic solutions to nonmonotone evolution equations with discontinuous nonlinearities, Nonlinear Anal.43 (2001), 233–251.
  3. F. J. García, W. Kaczor, T. Kuczumow and S. Reich, Weak convergence theorems for asymptotically nonexpansive mappings and semigroups, Nonlinear Anal.43 (2001), 377–401.
  4. S. Reich and A. J. Zaslavski, Attracting mappings in Banach and hyperbolic spaces, J. Math. Anal. Appl.253 (2001), 250–268.
  5. S. Reich and A. J. Zaslavski, Generic convergence of infinite products, J. Nonlinear Convex Anal.2 (2001), 111–127.
  6. S. Reich and A. J. Zaslavski, The set of divergent descent methods in a Banach space is $\sigma$-porous, SIAM J. Optim.11 (2001), 1003–1018.
  7. S. Reich and A. J. Zaslavski, Generic existence and uniqueness of positive eigenvalues and eigenvectors, Integral Equations Operator Theory41 (2001), 455–471.
  8. S. Reich and A. J. Zaslavski, The set of noncontractive mappings is $\sigma$-porous in the space of all nonexpansive mappings, C. R. Acad. Sci. Paris Sér. I Math.333 (2001), 539–544.
  9. D. Butnariu, S. Reich and A. J. Zaslavski, Asymptotic behavior of relatively nonexpansive operators in Banach spaces, J. Appl. Anal.7 (2001), 151–174.
  10. S. Reich and A. J. Zaslavski, Well-posedness of fixed point problems, Far East J. Math. Sci., Special Volume(Functional Analysis and its Applications) Part III (2001), 393–401.
  11. M. Elin, S. Reich, D. Shoikhet, Dynamics of inequalities in geometric function theory, J. Inequal. Appl.6 (2001), 651–664.
  12. S. Reich and A. J. Zaslavski, Well-posedness and porosity in best approximation problems, Topol. Methods Nonlinear Anal.18 (2001), 395–408.
  13. V. Khatskevich, S. Reich and D. Shoikhet, Schröder’s functional equation and the Koenigs embedding property, Nonlinear Anal.47 (2001), 3977–3988.
  14. W. Kaczor, T. Kuczumow and S. Reich, A mean ergodic theorem for mappings which are asymptotically nonexpansive in the intermediate sense, Nonlinear Anal.47 (2001), 2731–2742.
  15. S. Reich and A. J. Zaslavski, Porosity of the set of divergent descent methods, Nonlinear Anal.47 (2001), 3247–3258.
  16. M. Elin, S. Reich, D. Shoikhet, A semigroup approach to the geometry of domains in complex Banach spaces, Nonlinear Anal.47 (2001), 3271–3280.

2002

  1. Y. Alber, S. Reich and D. Shoikhet, Iterative approximations of null points of uniformly accretive operators with estimates of the convergence rate, Commun. Appl. Anal.6 (2002), 89–104.
  2. M. Elin, L. A. Harris, S. Reich and D. Shoikhet, Evolution equations and geometric function theory in $J\sp *$-algebras, J. Nonlinear Convex Anal.3 (2002), 81–121.
  3. S. Reich and A. J. Zaslavski, Well-posedness of generalized best approximation problems, Nonlinear Funct. Anal. Appl. 7 (2002), 115–128.
  4. A. S. Ackleh and S. Reich, Approximation theory for parameter identification in nonlinear delay evolution equations. Mathematics & mathematics education (Bethlehem, 2000), 239–252, World Sci. Publ., River Edge, NJ, 2002.
  5. S. Reich and A. J. Zaslavski, Generic existence of fixed points for set-valued mappings, Set-Valued Anal.10 (2002), 287–296.
  6. M. Elin, S. Reich and D. Shoikhet, Asymptotic behavior of semigroups of $\rho$-non-expansive and holomorphic mappings on the Hilbert ball, Ann. Mat. Pura Appl. (4)181 (2002), 501–526.
  7. B. Neta, S. Reich and Victory, H. Dean, Jr., Galerkin spectral synthesis methods for diffusion equations with general boundary conditions, Ann. Nuclear Energy29 (2002), 913–927.
  8. S. Reich and A. J. Zaslavski, The set of divergent infinite products in a Banach space is $\sigma$-porous, Z. Anal. Anwendungen21 (2002), 865–878.
  9. M. Elin, V. Goryainov, S. Reich and D. Shoikhet, Fractional iteration and functional equations for functions analytic in the unit disk, Comput. Methods Funct. Theory2 (2002), 353–366.

2003

  1. S. Reich and A. J. Zaslavski, Two convergence results for continuous descent methods, Electron. J. Differential Equations(2003), No. 24, 11 pp..
  2. S. Reich and A. J. Zaslavski, A weak ergodic theorem for infinite products of Lipschitzian mappings, Abstr. Appl. Anal.(2003), 67–74.
  3. T. Donchev, E. Farkhi and S. Reich, Fixed set iterations for relaxed Lipschitz multimaps, Nonlinear Anal.53 (2003), 997–1015.
  4. Y. Alber, S. Reich and J. C. Yao, Iterative methods for solving fixed-point problems with nonself-mappings in Banach spaces, Abstr. Appl. Anal.(2003), 193–216.
  5. S. Reich and H. K. Xu, An iterative approach to a constrained least squares problem, Abstr. Appl. Anal.(2003), 503–512.
  6. S. Reich and H. K. Xu, On a Banach space property of Trubnikov, Bull. Austral. Math. Soc.67 (2003), 503–510.
  7. S. Reich and A. J. Zaslavski, A porosity result in best approximation theory, J. Nonlinear Convex Anal.4 (2003), 165–173.
  8. V. Khatskevich, S. Reich and D. Shoikhet, Abel-Schröder equations for linear fractional mappings and the Koenigs embedding problem, Acta Sci. Math. (Szeged)69 (2003), 67–98.
  9. D. Butnariu, S. Reich and A. J. Zaslavski, Weak convergence of orbits of nonlinear operators in reflexive Banach spaces, Numer. Funct. Anal. Optim.24 (2003), 489–508.
  10. L. M. Bregman, Y. Censor, S. Reich and Y. Zepkowitz-Malachi, Finding the projection of a point onto the intersection of convex sets via projections onto half-spaces, J. Approx. Theory124 (2003), 194–218.
  11. W. A. Kirk, S. Reich and P. Veeramani, Proximinal retracts and best proximity pair theorems, Numer. Funct. Anal. Optim.24 (2003), 851–862.
  12. E. Matoušková and S. Reich, The Hundal example revisited, J. Nonlinear Convex Anal.4 (2003), 411–427.
  13. E. Matoušková and S. Reich, Reflexivity and approximate fixed points, Studia Math.159 (2003), 403–415.
  14. S. Reich and A. J. Zaslavski, Best approximations and porous sets, Comment. Math. Univ. Carolin.44 (2003), 681–689.

2004

  1. H. H. Bauschke, E. Matoušková and S. Reich, Projection and proximal point methods, convergence results and counterexamples, Nonlinear Anal.56 (2004), no. 5, 715–738.
  2. S. Aizicovici, S. Reich and A. J. Zaslavski, Convergence results for a class of abstract continuous descent methods, Electron. J. Differential Equations2004, No. 45, 13 pp.
  3. S. Aizicovici, S. Reich and A. J. Zaslavski, Convergence theorems for continuous descent methods, J. Evol. Equ.4 (2004), 139–156.
  4. M. Elin, S. Reich and D. Shoikhet, Complex dynamical systems and the geometry of domains in Banach spaces, Dissertationes Math. (Rozprawy Mat.)427 (2004), 62 pp.
  5. S. Reich and A. J. Zaslavski, Generic convergence of iterates for a class of nonlinear mappings, Fixed Point Theory Appl.2004, 211–220.
  6. E. Kopecká and S. Reich, A note on the von Neumann alternating projections algorithm, J. Nonlinear Convex Anal.5 (2004), 379–386.
  7. S. Reich and A. J. Zaslavski, Porous sets and generalized best approximation problems, Nonlinear Anal. Forum9 (2004), 135–152.

2005

  1. Bauschke, H. H., P. L. Combettes and S. Reich, The asymptotic behavior of the composition of two resolvents, Nonlinear Anal.60 (2005), 283–301.
  2. S. Reich and A. J. Zaslavski, A stability result in fixed point theory, Fixed Point Theory6 (2005), 113–118.
  3. S. Reich and S. Simons, Fenchel duality, Fitzpatrick functions and the Kirszbraun-Valentine extension theorem, Proc. Amer. Math. Soc.133 (2005), 2657–2660.
  4. S. Aizicovici, S. Reich and A. J. Zaslavski, Most continuous descent methods converge, Arch. Math. (Basel)85 (2005), 268–277.
  5. A. Aleyner and S. Reich, A note on explicit iterative constructions of sunny nonexpansive retractions in Banach spaces, J. Nonlinear Convex Anal.6 (2005), 525–533.
  6. S. Reich and A. J. Zaslavski, Convergent infinite products and the minimization of convex functions, Ann. Univ. Mariae Curie-Skƚodowska Sect. A59 (2005), 107–117.
  7. S. Reich and A. J. Zaslavski, A note on well-posed null and fixed point problems, Fixed Point Theory Appl.2005, 207–211.
  8. M. Budzyńska and S. Reich, Infinite products of holomorphic mappings, Abstr. Appl. Anal.2005, 327–341.
  9. A. Aleyner and S. Reich, An explicit construction of sunny nonexpansive retractions in Banach spaces, Fixed Point Theory Appl.2005, 295–305.
  10. S. Reich and A. J. Zaslavski, Convergence of iterates of typical nonexpansive mappings in Banach spaces, C. R. Math. Acad. Sci. Soc. R. Can.27 (2005), 121–128.

2006

  1. E. Kopecká and S. Reich, Hyperbolic monotonicity in the Hilbert ball, Fixed Point Theory Appl.2006, Art. ID 78104, 15 pp..
  2. S. Aizicovici, S. Reich and A. J. Zaslavski, Continuous descent methods for the minimization of Lipschitz functions, Nonlinear Funct. Anal. Appl.11 (2006), 59–85.
  3. S. Reich and A. J. Zaslavski, Two results on fixed points of set-valued nonexpansive mappings, Rev. Roumaine Math. Pures Appl.51 (2006), 89–94.
  4. M. Arav, S. Reich and A. J. Zaslavski, A note on the minimization of convex functions, Int. J. Pure Appl. Math.32 (2006), 65–69.
  5. J. García-Falset and S. Reich, Zeroes of accretive operators and the asymptotic behavior of nonlinear semigroups, Houston J. Math.32 (2006), 1197–1225.
  6. S. Reich and A. J. Zaslavski, Three examples in metric fixed point theory, Fixed Point Theory7 (2006), 323–332.
  7. D. Butnariu, S. Reich and A. J. Zaslavski, There are many totally convex functions, J. Convex Anal.13 (2006), 623–632.

2007

  1. M. Arav, F. E. C. Santos, S. Reich and A. J. Zaslavski, A note on asymptotic contractions, Fixed Point Theory Appl.2007, Art. ID 39465, 6 pp..
  2. S. Bartz, H. H. Bauschke, J. M. Borwein, S. Reich and X. Wang, Fitzpatrick functions, cyclic monotonicity and Rockafellar’s antiderivative, Nonlinear Anal.66 (2007), 1198–1223.
  3. S. Aizicovici, S. Reich and A. J. Zaslavski, A generic convergence theorem for continuous descent methods in Banach spaces, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal.14 (2007), 137–145.
  4. D. Reem, S. Reich and A. J. Zaslavski, Two results in metric fixed point theory, J. Fixed Point Theory Appl.1 (2007), 149–157.
  5. S. Aizicovici, S. Reich and A. J. Zaslavski, Stability of convergent continuous descent methods, Electron. J. Differential Equations2007, 6 pp..
  6. M. Arav, S. Reich and A. J. Zaslavski, Uniform convergence of iterates for a class of asymptotic contractions, Fixed Point Theory8 (2007), 3–9.
  7. M. Levenshtein, S. Reich and D. Shoikhet, An application of the resolvent method to rigidity theory for holomorphic mappings, J. Nonlinear Convex Anal.8 (2007), 99–103.
  8. A. Aleyner and S. Reich, Implicit and explicit constructions of sunny nonexpansive retractions in Banach spaces, J. Math. Appl.29 (2007), 5–16.
  9. S. Reich and A. J. Zaslavski, Convergence of iterates for a class of mappings of contractive type, JP J. Fixed Point Theory Appl. 2(2007), 69–78.
  10. D. Butnariu, S. Reich and A. J. Zaslavski, Asymptotic behavior of inexact orbits for a class of operators in complete metric spaces, J. Appl. Anal.13 (2007), 1–11.
  11. T. Donchev, E. Farkhi and S. Reich, Discrete approximations and fixed set iterations in Banach spaces, SIAM J. Optim.18 (2007), 895–906.
  12. S. Reich and A. J. Zaslavski, A fixed point theorem for Matkowski contractions, Fixed Point Theory8 (2007), 303–307.
  13. E. Masad and S. Reich, A note on the multiple-set split convex feasibility problem in Hilbert space, J. Nonlinear Convex Anal. 8(2007), 367–371.
  14. M. Elin, M. Levenshtein, S. Reich and D. Shoikhet, Rigidity results for holomorphic mappings on the unit disk, Complex and harmonic analysis, 93–109, DEStech Publ., Inc., Lancaster, PA, 2007.

2008

  1. M. Elin, S. Reich, D. Shoikhet and F. Yacobzon, Asymptotic behavior of one-parameter semigroups and rigidity of holomorphic generators, Complex Anal. Oper. Theory2 (2008), 55–86.
  2. M. Elin, S. Reich and D. Shoikhet, A Julia-Carathéodory theorem for hyperbolically monotone mappings in the Hilbert ball, Israel J. Math.164 (2008), 397–411.
  3. M. Elin, M. Levenshtein, S. Reich and D. Shoikhet, Two rigidity theorems for holomorphic generators of continuous semigroups, J. Nonlinear Convex Anal.9 (2008), 59–64.
  4. A. Aleyner and S. Reich, Block-iterative algorithms for solving convex feasibility problems in Hilbert and in Banach spaces, J. Math. Anal. Appl.343 (2008), 427–435.
  5. D. Butnariu, S. Reich and A. J. Zaslavski, Stable convergence theorems for infinite products and powers of nonexpansive mappings, Numer. Funct. Anal. Optim.29 (2008), 304–323.
  6. S. Reich and A. J. Zaslavski, Two results on Jachymski-Schröder-Stein contractions, Bull. Pol. Acad. Sci. Math.56 (2008), 53–58.
  7. S. Reich and A. J. Zaslavski, A note on Rakotch contractions, Fixed Point Theory9 (2008), 267–273.
  8. S. Reich and A. J. Zaslavski, Regular vector-fields in Banach spaces, Taiwanese J. Math.12 (2008), 1165–1176.
  9. Y. Censor, S. Reich and A. J. Zaslavski, General algorithmic frameworks for online problems, Int. J. Pure Appl. Math.46 (2008), 19–36.
  10. M. Elin, M. Levenshtein, S. Reich and D. Shoikhet, D., A rigidity theorem for holomorphic generators on the Hilbert ball, Proc. Amer. Math. Soc.136 (2008), 4313–4320.
  11. E. Pustylnik, S. Reich and A. J. Zaslavski, Inexact orbits of nonexpansive mappings, Taiwanese J. Math. 12(2008), 1511–1523.
  12. S. Reich and A. J. Zaslavski, A convergence theorem for asymptotic contractions, J. Fixed Point Theory Appl.4 (2008), 27–33.
  13. E. Kopecká and S. Reich, A note on the approximation of fixed points in the Hilbert ball, J. Nonlinear Convex Anal.9 (2008), 361–367.
  14. M. Elin, M. Levenshtein, S. Reich and D. Shoikhet, D., Commuting semigroups of holomorphic mappings, Math. Scand.103 (2008), 295–319.
  15. A. Goldvard, S. Reich and D. Shoikhet, Asymptotic representations of star-like functions via continuous semigroups of holomorphic mappings, Math. Proc. R. Ir. Acad.108 (2008), 177–197.
  16. E. Pustylnik, S. Reich and A. J. Zaslavski, Convergence to compact sets of inexact orbits of nonexpansive mappings in Banach and metric spaces, Fixed Point Theory Appl.2008, Art. ID 528614, 10 pp.

2009

  1. D. Reem and S. Reich, Zone and double zone diagrams in abstract spaces, Colloq. Math.115 (2009), 129–145.
  2. F. Jacobzon, S. Reich and D. Shoikhet, Linear fractional mappings, invariant sets, semigroups and commutativity, J. Fixed Point Theory Appl.5 (2009), 63–91.
  3. E. Kopecká and S. Reich, Asymptotic behavior of resolvents of coaccretive operators in the Hilbert ball, Nonlinear Anal.70 (2009), 3187–3194.
  4. M. Levenshtein and S. Reich, Approximating fixed points of holomorphic mappings in the Hilbert ball, Nonlinear Anal.70 (2009), 4145–4150.
  5. S. Aizicovici, S. Reich and A. J. Zaslavski, Asymptotic behavior of approximate solutions to evolution equations in Banach spaces, Z. Anal. Anwend.28 (2009), 295–303.
  6. A. Aleyner and S. Reich, Approximating common fixed points of nonexpansive mappings in Banach spaces,Fixed Point Theory 10 (2009), 3–17.
  7. F. S. de Blasi, J. Myjak, S. Reich and A. J. Zaslavski, Generic existence and approximation of fixed points for nonexpansive set-valued maps, Set-Valued Var. Anal.17 (2009), 97–112.
  8. E. Pustylnik, S. Reich and A. J. Zaslavski, Inexact infinite products of nonexpansive mappings, Numer. Funct. Anal. Optim.30 (2009), 632–645.
  9. D. Alpay, S. Reich and D. Shoikhet,Rigidity Theorems, Boundary Interpolation and Reproducing Kernels for Generalized Schur Functions, Comput. Methods Funct. Theory. 9 (2009), 347–364.
  10. S. Reich and S. Sabach,A strong convergence theorem for a proximal-type algorithm in reflexive Banach spaces, J. Nonlinear Convex Anal. 10 (2009), 471–485.
  11. A. Aleyner and S. Reich, Random products of quasi-nonexpansive mappings in Hilbert space, J. Convex Anal.16 (2009), 633–640.
  12. E. Pustylnik, S. Reich and A. J. Zaslavski, Weak and strong convergence theorems for inexact orbits of uniformly Lipschitzian mappings, J. Nonlinear Convex Anal. 10(2009), 359–367.

2010

  1. S. Reich and A. J. Zaslavski, Inexact powers and infinite products of nonlinear operators, Int. J. Math. Stat.6 (2010), 89–109.
  2. S. Reich and A. J. Zaslavski, Approximating fixed points of contractive set-valued mappings, Commun. Math. Anal.8 (2010), 70–78.
  3. S. Reich and S. Sabach,Two strong convergence theorems for a proximal method in reflexive Banach spaces, Numer. Funct. Anal. Optim. 31 (2010), 22–44.
  4. S. Aizicovici, S. Reich and A. J. Zaslavski, Minimizing convex functions by continuous descent methods, Electron. J. Differ. Equ.19 (2010), 7 pp..
  5. S. Reich and A. J. Zaslavski, Convergence of inexact iterative schemes for nonexpansive set-valued mappings, Fixed Point Theory Appl.2010, Art. ID 518243, 10 pp..
  6. S. Reich and A. J. Zaslavski, Existence and approximation of fixed points for set-valued mappings, Fixed Point Theory Appl.2010, Art. ID 351531, 10 pp..
  7. E. Llorens-Fuster, E. M., Mazcuñán-Navarro and S. Reich,The Ptolemy and Zbăganu constants of normed spaces, Nonlinear Anal. 72 (2010), 3984–3993.
  8. D. Alpay, A. Dijksma, H. Langer, S. Reich and D. Shoikhet, Boundary interpolation and rigidity for generalized Nevanlinna functions, Math. Nachr.283 (2010), 335–364.
  9. S. Reich and S. Sabach, Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces, Nonlinear Anal.73 (2010), 122–135.
  10. E. Kopecká and S. Reich, A mean ergodic theorem for nonlinear semigroups on the Hilbert ball, J. Nonlinear Convex Anal. 11(2010), 185–197.
  11. E. Kopecká and S. Reich, Another note on the von Neumann alternating projections algorithm, J. Nonlinear Convex Anal.11 (2010), 455–460.
  12. E. Pustylnik, S. Reich and A. J. Zaslavski, Convergence of infinite products of nonexpansive operators in Hilbert space, J. Nonlinear Convex Anal.11 (2010), 461–474.
  13. J. García-Falset and S. Reich, Integral solutions to a class of nonlocal evolution equations, Commun. Contemp. Math.12 (2010), 1031–1054.
  14. M. Levenshtein and S. Reich, A rigidity theorem for commuting holomorphic functions, J. Nonlinear Convex Anal.11 (2010), 65–70.
  15. S. Reich and A. Wallwater, Almost convergence and a dual ergodic theorem for nonlinear semigroups, J. Nonlinear Convex Anal.11 (2010), 89–99.
  16. D. Butnariu, S. Reich and S. Sabach, A strong convergence theorem for resolvents of monotone operators, J. Convex Anal.17 (2010), 991–1006.
  17. S. Reich and A. J. Zaslavski, A stable convergence theorem for infinite products of nonexpansive mappings in Banach spaces, J. Fixed Point Theory Appl.8 (2010), 395–403.
  18. M. Elin, D. Khavinson, S. Reich and D. Shoikhet, Linearization models for parabolic dynamical systems via Abel’s functional equation, Ann. Acad. Sci. Fenn. Math.35 (2010), 439–472.

2011

  1. S. Bartz and S. Reich, Minimal antiderivatives and monotonicity, Nonlinear Anal.74 (2011), 59–66.
  2. S. Reich and S. Sabach, A projection method for solving nonlinear problems in reflexive Banach spaces, J. Fixed Point Theory Appl.9 (2011), 101—116.
  3. E. Kopecká and S. Reich, Alternating projections and orthogonal decomposition, J. Nonlinear Convex Anal.12 (2011), 155–159.
  4. J. M. Borwein, S. Reich and S. Sabach, A characterization of Bregman firmly nonexpansive operators using a new monotonicity concept, J. Nonlinear Convex Anal.12 (2011), 161–184.
  5. Y. Censor, A. Gibali, A. and S. Reich, The subgradient extragradient method for solving variational inequalities in Hilbert space, J. Optim. Theory Appl.148 (2011), 318–335.
  6. E. Pustylnik, S. Reich and A. J.  Zaslavski, Convergence of non-cyclic infinite products of operators, J. Math. Anal. Appl.380 (2011), 759–767.
  7. S. Reich and A. J. Zaslavski, Convergence of perturbed iterates of set-valued mappings, J. Fixed Point Theory Appl.10 (2011), 181–190.
  8. S. Reich ans A. J. Zaslavski, Convergence to attractors under perturbations, Commun. Math. Anal.10 (2011), 57–63.
  9. W. Kaczor and S. Reich, Ergodic retractions for semigroups in strictly convex Banach spaces, Taiwanese J. Math.15 (2011), 1447–1456.
  10. S. Reich and A. J. Zaslavski, Convergence of inexact orbits of contractive mappings in metric spaces, Comm. Appl. Nonlinear Anal.18 (2011), 57–63.
  11. E. Kopecká and S. Reich, Continuous extension operators and convexity, Nonlinear Anal.74 (2011), 6907–6910.
  12. Y. Censor, A. Gibali and S. Reich, Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space, Optim. Methods Softw.26 (2011), 827–845.
  13. G. Kassay, S. Reich and S. Sabach, Iterative methods for solving systems of variational inequalities in reflexive Banach spaces, SIAM J. Optim.21 (2011), 1319–1344.
  14. S. Reich and L. Shemen, Two algorithms for nonexpansive mappings, Fixed Point Theory12 (2011), 443–448.
  15. F. Jacobzon, M. Levenshtein and S. Reich, Convergence characteristics of one-parameter continuous semigroups, Anal. Math. Phys.1 (2011), 311–335.
  16. S. Reich and A. J. Zaslavski, A convergence and stability theorem for contractive non-self mappings, J. Analysis19 (2011), 87–94.

2012

  1. Y. Censor, A. Gibali and S. Reich, Algorithms for the split variational inequality problem, Numer. Algorithms59 (2012), 301–323.
  2. E. Kopecká, D. Reem and S. Reich, Zone diagrams in compact subsets of uniformly convex normed spaces, Israel J. Math.188 (2012), 1–23.
  3. E. Pustylnik, S. Reich and A. J. Zaslavski, Convergence of non-periodic infinite products of orthogonal projections and nonexpansive operators in Hilbert space, J. Approx. Theory164 (2012), 611–624.
  4. Y. Censor, A. Gibali, S. Reich and S. Sabach, Common solutions to variational inequalities, Set-Valued Var. Anal.20 (2012), 229–247.
  5. S. Bartz and S. Reich, Abstract convex optimal antiderivatives, Ann. Inst. H. Poincaré Anal. Non Linéaire29 (2012), 435–454.
  6. Y. Censor, A. Gibali and S. Reich, A von Neumann alternating method for finding common solutions to variational inequalities, Nonlinear Anal.75 (2012), 4596–4603.
  7. V. Martín-Márquez, S. Reich and S. Sabach, Right Bregman nonexpansive operators in Banach spaces, Nonlinear Anal.75 (2012), 5448–5465.
  8. M. Budzyńska, T. Kuczumow and S. Reich, A Denjoy–Wolff theorem for compact holomorphic mappings in reflexive Banach spaces, J. Math. Anal. Appl.396 (2012), 504–512.
  9. C. Byrne, Y. Censor, A. Gibali and S. Reich, The split common null point problem, J. Nonlinear Convex Anal.13 (2012), 759–775.
  10. S. Reich and A. J. Zaslavski, A note on inexact infinite products. Commun. Appl. Anal.  16  (2012),  no. 4, 655–663.
  11. E. Kopecká and S. Reich,  A note on alternating projections in Hilbert space.  J. Fixed Point Theory Appl. 12  (2012),  no. 1-2, 41–47.

 2013

  1. S. Reich and A. J. Zaslavski,  Generic contractivity for a class of nonlinear mappings.  Lib. Math. (N.S.) 33  (2013),  no. 1, 15–20.
  2. A. Cegielski, A. Gibali, S. Reich, and R. Zalas, An algorithm for solving the variational inequality problem over the fixed point set of a quasi-nonexpansive operator in Euclidean space.  Numer. Funct. Anal. Optim. 34  (2013),  no. 10, 1067–1096.
  3. S. Reich and L. Shemen, A note on Halpern’s algorithm in the Hilbert ball.  J. Nonlinear Convex Anal. 14  (2013),  no. 4, 853–862.
  4. S. Reich and A. J. Zaslavski,  Approximate fixed points of nonexpansive mappings in unbounded sets.  J. Fixed Point Theory Appl.  13  (2013),  no. 2, 627–632.
  5. M. Budzyńska, T. Kuczumow, and S. Reich, A Denjoy-Wolf theorem for compact holomorphic mappings in complex Banach spaces.   Ann. Acad. Sci. Fenn. Math.  38  (2013),  no. 2, 747–756.
  1. S. Reich and A. J. Zaslavski,  Convergence of inexact iterates of nonexpansive mappings in metric spaces. Dynam. Systems Appl.  22  (2013),  no. 2-3, 419–423.
  1. E. Pustylnik, S. Reich, and A. J. Zaslavski, Inner inclination of subspaces and infinite products of orthogonal projections.
  2. Nonlinear Convex Anal. 14  (2013),  no. 3, 423–436.
  3. M. Budzyńska, T. Kuczumow, and S. Reich, Theorems of Denjoy-Wolff type. Ann. Mat. Pura Appl. (4)  192(2013),  no. 4, 621–648.
  1. F. S. de Blasi, S. Reich, and A. J. Zaslavski,  Generic properties of continuous differential inclusions and the Tonelli method of approximate solutions.Set-Valued Var. Anal.  21  (2013),  no. 2, 217–245.
  1. S. Reich, D. Shoikhet, and J. Zemánek, Ergodicity, numerical range, and fixed points of holomorphic mappings.
  2. Anal. Math. 119  (2013), 275–303.
  3. V. Martín-Márquez, S. Reich, and S. Sabach, Iterative methods for approximating fixed points of Bregman nonexpansive operators.Discrete Contin. Dyn. Syst. Ser. S  6  (2013),  no. 4, 1043–1063.
  1. V. Martín-Márquez, S. Reich, and S. Sabach, Bregman strongly nonexpansive operators in reflexive Banach spaces.
  2. Math. Anal. Appl. 400  (2013),  no. 2, 597–614.

 2014

  1. M. Bačák and S. Reich, The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces. J. Fixed Point Theory Appl.  16  (2014),  no. 1-2, 189–202.
  2. S. Reich and A. J. Zaslavski,  Inexact orbits of holomorphic mappings in complex Banach spaces.  Rend. Circ. Mat. Palermo (2) 63  (2014),  no. 3, 439–445.
  3. W. Boulos and S. Reich, Farthest points and porosity.  J. Nonlinear Convex Anal.15  (2014),  no. 6, 1319–1329.
  4. E. Kopecká and S. Reich,  Approximating fixed points in the Hilbert ball.  J. Nonlinear Convex Anal. 15  (2014),  no. 4, 819–829.
  5. M. Budzyńska, T. Kuczumow and S. Reich, Theorems of Denjoy-Wolff type for families of holomorphic retracts.  J. Nonlinear Convex Anal. 15  (2014),  no. 4, 637–645.
  6. M. Gabour, S. Reich, and A. J. Zaslavski,  A generic fixed point theorem.  Indian J. Math. 56  (2014),  no. 1, 25–32.
  7. S. Reich and A. J. Zaslavski,  Porosity and the bounded linear regularity property.  J. Appl. Anal. 20  (2014),  no. 1, 1–6.
  8. S. Bartz and S. Reich,  Optimal pricing for optimal transport.  Set-Valued Var. Anal. 22  (2014),  no. 2, 467–481.
  9. S. Reich and A. J. Zaslavski,  An example concerning bounded linear regularity of subspaces in Hilbert space.  Bull. Aust. Math. Soc.89  (2014),  no. 2, 217–226.
  10. S. Reich and A. J. Zaslavski,  Asymptotic behavior of inexact infinite products of nonexpansive mappings in metric spaces.  Z. Anal. Anwend. 33  (2014),  no. 1, 101–117.
  11. S. Reich and A. J. Zaslavski, Three generic results in holomorphic fixed point theory.  Complex Anal. Oper. Theory 8  (2014),  no. 1, 51–56.
  12. E. Pustylnik and S. Reich, Infinite products of arbitrary operators and intersections of subspaces in Hilbert space.  J. Approx. Theory 178  (2014), 91–102.
  13. M. Elin, M. Levenshtein, S. Reich,  and D.  Shoikhet,  Some inequalities for the horosphere function and hyperbolically nonexpansive mappings on the Hilbert ball.

(Russian); translated from  Sovrem. Mat. Fundam. Napravl.  45  (2012), 75—93, J. Math. Sci. (N.Y.)  201  (2014),  no. 5, 595—613

 2015

  1. S. Reich and Z. Salinas, Infinite products of discontinuous operators in Banach and metric spaces.  Linear Nonlinear Anal.1  (2015),  no. 2, 169–200.
  2. S. Reich and A. J. Zaslavski, Invariant sets of nonexpansive mappings.  J. Anal. 23  (2015), 131–140.
  3. A. Gibali, S. Reich and R. Zalas, Iterative methods for solving variational inequalities in Euclidean space.  J. Fixed Point Theory Appl.  17  (2015),  no. 4, 775–811.
    Erratum: J. Fixed Point Theory Appl.  17  (2015),  no. 4, 813.
  4. W. Boulos and S. Reich, Porosity results for two-set nearest and farthest point problems.  Rend. Circ. Mat. Palermo (2)64  (2015),  no. 3, 493–507.
  5. S. Reich and A. J. Zaslavski, Genericity and porosity in fixed point theory: a survey of recent results.  Fixed Point Theory Appl.  2015, 2015:195, 21 pp.
  6. S. Reich and A. J. Zaslavski,  A stable convergence theorem for set-valued mappings.  J. Fixed Point Theory Appl.  10  (2015),  no. 1, 33–44.
  7. S. Reich and A. J. Zaslavski,  Approximate fixed points of nonexpansive set-valued mappings in unbounded sets.  J. Nonlinear Convex Anal.  16  (2015),  no. 9, 1707–1716.
  8. S. Bartz and S. Reich,  Some aspects of the representation of c-monotone operators by C-convex functions.  J. Convex Anal.  22  (2015),  no. 3, 687–710.
  9. S. Reich and A. J. Zaslavski,  Contractivity and genericity results for a class of nonlinear mappings.  J. Nonlinear Convex Anal.  16  (2015),  no. 6, 1113–1122.
  10. S. Reich and A. J. Zaslavski,  Variants of Caristi’s fixed point theorem.  PanAmer. Math. J.  25  (2015),  no. 1, 42–52
  11. L. Aguirre Salazar and S. Reich, A remark on weakly contractive mappings.  J. Nonlinear Convex Anal.  16  (2015),  no. 4, 767–773.
  12. M. Budzyńska, T. Kuczumow and S. Reich, Limiting behavior of the Kobayashi distance.  Taiwanese J. Math.  19  (2015),  no. 2, 535–552.
  13. M. Budzyńska, T. Kuczumow and S. Reich, The common fixed point set of commuting holomorphic mappings in Cartesian products of Banach spaces.

Fixed Point Theory  16  (2015),  no. 1, 49–66.

  1. M. Budzyńska and S. Reich, The Denjoy-Wolff iteration property in the Hilbert ball.  J. Nonlinear Convex Anal.  16  (2015),  no. 3, 485–496.
  2. S. Reich and A. J. Zaslavski,  Generic contractivity of nonexpansive mappings with unbounded domains.  J. Nonlinear Convex Anal.  16  (2015),  no. 1, 1–7.

2016

  1. S. Reich and A. J. Zaslavski, Contractive set-valued mappings. Nonlinear Anal. Forum  21  (2016),  no. 2, 145–152.
  2. M. Budzyńska, T. Kuczumow, and S. Reich, Convergence of iterates of fixed-point-free holomorphic mappings. J. Nonlinear Convex Anal.  17  (2016),  no. 11, 2343–2353.
  3. S. Reich and A. J. Zaslavski, Asymptotic behavior of infinite products of nonexpansive mappings. J. Nonlinear Convex Anal.  17  (2016),  no. 10, 1967–1973.
  4. M. Budzyńska, T. Kuczumow and S. Reich, The Wolff-Denjoy iteration property in complex Banach spaces. J. Nonlinear Convex Anal.  17  (2016),  no. 6, 1213–1221.
  5. M. Budzyńska, W. Kaczor, and S. Reich, Inexact orbits and boundedness of iterates of nonexpansive mappings. J. Nonlinear Convex Anal.  17  (2016),  no. 7, 1283–1290.
  6. F. Bracci, M. Levenshtein, S. Reich, and D. Shoikhet, Growth estimates for the numerical range of holomorphic mappings and applications. Comput. Methods Funct. Theory 16  (2016),  no. 3, 457–487.
  7. S. Reich and R. Zalas, A modular string averaging procedure for solving the common fixed point problem for quasi-nonexpansive mappings in Hilbert space.Numer. Algorithms 72  (2016),  no. 2, 297–323.
  1. S. Reich and Z. Salinas, Weak convergence of infinite products of operators in Hadamard spaces. Rend. Circ. Mat. Palermo (2)  65  (2016),  no. 1, 55–71.
  2. J. Garcia-Falset, O. Muñiz-Pérez and S. Reich, Domains of accretive operators in Banach spaces.  Proc. Roy. Soc. Edinburgh Sect. A  146  (2016),  no. 2, 325–336.
  3. S. Reich and A. J. Zaslavski,  Two porosity theorems for nonexpansive mappings in hyperbolic spaces.  J. Math. Anal. Appl.  433  (2016),  no. 2, 1220–1229.

2017

  1. S. Reich and R. Zalas, The optimal error bound for the method of simultaneous projections. J. Approx. Theory 223 (2017), 96–107.
  2. C. Bargetz, M. Dymond, and S. Reich, Porosity results for sets of strict contractions on geodesic metric spaces. Topol. Methods Nonlinear Anal. 50  (2017),  no. 1, 89–124.
  3. S. Reich and A. J. Zaslavski, Nonexpansive set-valued mappings on bounded star-shaped sets. J. Nonlinear Convex Anal.  18  (2017),  no. 7, 1383–1392.
  4. V. I. Kolobov, S. Reich, and R. Zalas, Weak, strong, and linear convergence of a double-layer fixed point algorithm. SIAM J. Optim. 27 (2017),  no. 3, 1431–1458.
  5. S. Reich and A. J. Zaslavski, Asymptotic behavior of generic infinite products of nonexpansive mappings. J. Nonlinear Convex Anal.  18  (2017),  no. 1, 17–27.
  6. S. Reich and Z. Salinas, Metric convergence of infinite products of operators in Hadamard spaces. J. Nonlinear Convex Anal. 18  (2017),  no. 2, 331–345.
  7. M. Budzyńska, W. Kaczor, T. Kuczumow, S. Reich, Open problems connected with the metric theory of holomorphic mappings. J. Nonlinear Convex Anal.  18  (2017),  no. 2, 215–230.
  1. S. Reich and A. J. Zaslavski, Convergence to approximate solutions and perturbation resilience of iterative algorithms. Inverse Problems 33  (2017),  no. 4, 044005, 17 pp.
  2. A. Gibali, S. Reich, and R. Zalas, Outer approximation methods for solving variational inequalities in Hilbert space. Optimization  66  (2017),  no. 3, 417–437.

2018

  1. S. Reich and A. J.  Zaslavski,  Generic Well-Posedness of Fixed Point Problems. Vietnam J. Math.46  (2018),  no. 1, 5–13.
  2. C. Bargetz, S. Reich, and R. Zalas, Convergence properties of dynamic string-averaging projection methods in the presence of perturbations. Numer. Algorithms 77  (2018),  no. 1, 185–209.

Papers in Books

1977

  1. S. Reich, Nonlinear evolution equations and nonlinear ergodic theorems (an announcement), in “Nonlinear Systems and Applications”, Academic Press, New York, 1977, 297–298.

1978

  1. S. Reich, Iterative methods for accretive sets, in “Nonlinear Equations in Abstract Spaces”, Academic Press, New York, 1978, 317–326.

1979

  1. S. Reich, Constructive techniques for accretive and monotone operators, in “Applied NonlinearAnalysis”, Academic Press, New York, 1979, 335–345.

1982

  1. S. Reich, Nonlinear semigroups, accretive operators, and applications, in “Nonlinear Phenomenain Mathematic al Sciences”, Academic Press, New York, 1982, 831–838.

1983

  1. M. M. Israel, Jr. and S. Reich, A note on nonlinear semigroups with large sets of fixed points, in “Global Analysis”, Teubner Verlag, Leipzig, 1983, 154–157.
  2. S. Reich, Convergence, resolvent consistency, and the fixed point property for nonexpansive mappings, Contemporary Math., Vol. 18, Amer. Math. Soc., Providence, RI, 1983, 167–174
  3. S. Reich, Some problems and results in fixed point theory, Contemporary Mathematics, Vol. 21, Amer. Math. Soc., Providence, RI, 1983, 179–187.

1984

  1. D. S. Hulbert and S. Reich, Ergodic theorems for nonlinear Volterra integral equations, in “Nonlinear Differential Equations”, Marcel Dekker, New York, 1984, 255–262.
  2. S. Reich, On the differentiability of nonlinear semigroups, in “Infinite-Dimensional Systems”, Lecture Notes in Mathematics, Vol. 1076, Springer, Berlin, 1984, 203–208.

1985

  1. E. I. Poffald and S. Reich, A quasi-autonomous second-order differential inclusion, in “Nonlinear Analysis”, North Holland, Amsterdam, 1985, 387–392.

1986

  1. S. Reich, Nonlinear semigroups, holomorphic mappings, and integral equations, in “Proc. Symp. Pure Math.”, Vol. 45, Part 2, Amer. Math. Soc., Providence, RI, 1986, 307–324.
  2. E. I. Poffald and S. Reich, Asymptotic behavior of solutions to a class of second order differential inclusions, in “Operator Equations and Fixed Point Theorems”, MSRI-Korea, Seoul, 1986, 69–73.

1987

  1. S. Reich and I. Shafrir, On the method of successive approximations for nonexpansive mappings, in “Nonlinear and Convex Analysis”, Marcel Dekker, New York, 1987, 193–201.
  2. S. Reich, Integral equations, hyperconvex spaces and the Hilbert ball, in “NonlinearAnalysis and Applications”, Marcel Dekker, New York, 1987, 517–525.

1988

  1. S. Reich, Fixed point theory in Hilbert ball, Contemporary Math., Vol.72 (1988), 225-232.

1989

  1. E. I. Poffald and S. Reich, A difference inclusion, in “Nonlinear Semigroups, Partial DifferentialEquations and Attractors”, Lecture Notes in Mathematics, Vol. 1394, Springer, Berlin, 1989, 122–130.
  2. H. T. Banks, C. K. Lo, S. Reich and I. G. Rosen, Numerical studies of identification in nonlinear distributed parameter systems, ICASE Rep ort #89-3, Proc. Fourth InternationalConference on Identification and Control of Distribute d Parameter Systems, ISNM, Vol. 91, Birkhauser, Basel, 1989, 1-20.

1991

  1. S. Reich, Fixed point theory in hyperbolic spaces, in “Fixed Point Theory and Applications”, Longman, Harlow, 1991, 351–358.

1992

  1. J. M. Dye and S. Reich, Random products of nonexpansive mappings, in “Optimizationand Nonlinear Analysis”, Longman, Harlow, 1992, 106–118.
  2. S. Reich, Nonlinear semigroups, integral equations and hyperbolic spaces, in “Optimizationand Nonlinear Analysis”, Longman, Harlow, 1992, 227–239.

1993

  1. J. M. Dye, T. Kuczumow, P.K. Lin and S. Reich, Random products of nonexpansive mappings in spaces with the Opial property, Contemporary Math., Vol.144 (1993), 87–93.

1994

  1. M. A. Demetriu, S. Reich and I. G. Rosen, Model reference adaptive control of abstract nonlinear distributed parameter systems, Proc. American Control Conference, Baltimore, MD, 1994, 3400–3401.

1995

  1. V. Khatskevich, S. Reich and D. Shoikhet, Ergodic type theorems for nonlinear semigroups with holomorphic generators, Technion Preprint Series No. MT-999, 1994, in “Recent Developmentsin Evolution Equations”, Pitman Research Notes in Math., Vol. 324, Longman, Harlow, 1995, 191–200.
  2. Y. S. Lee and S. Reich, Convergence and approximation of nonlinear algorithms, operators and semigroups, Proc. 3rd IEEE Med. Symp., Vol. I, Limassol, 1995, 21–23.

1996

  1. J. M. Dye, T. Kuczumow and S. Reich, Random products of contractions, Proceedingsof the First World Congress of Nonlinear Analysts, Vol. II, de Gruyter, Berlin, 1996, 1541–1548.
  2. Y. S. Lee and S. Reich, Convergence of accretive operators, Proceedings of the First WorldCongress of Nonlinear Analysts, Vol. III, de Gruyter, Berlin, 1996, 2179–2185.
  3. V. Khatskevich, S. Reich and D. Shoikhet, Fixed points of holomorphic mappings and semigroups in Banach spaces, regularity and uniqueness, in “Interaction between FunctionalAnalysis, Harmonic Analysis and Probability”, Marcel Dekker, New York, 1996, 249–254.
  4. S. Reich and D. Shoikhet, The existence of resolvents of holomorphic generators in Banach spaces, in “Theory and Applications of Nonlinear Operators”, Marcel Dekker, New York, 1996, 251–258.
  5. S. Reich, A weak convergence theorem for the alternating method with Bregman distances, in “Theory and Applications of Nonlinear Operators”, Marcel Dekker, New York, 1996, 313–318.
  6. J. M. Ko, Y. S. Lee and S. Reich, New results on the convergence and approximation of nonlinear operators and semigroups, Proc. 4th IEEE Med. Symp., Chania, Crete, 1996, 605–606.
  7. M. Böhm, M. A. Demetriou, S. Reich and I. G. Rosen, A model reference adaptive control scheme for nonlinear infinite dimensional systems, Proc. 13th IFAC World Congress, San Francisco, CA, 1996, 205–210.
  8. V. Khatskevich, S. Reich and D. Shoikhet, Null points of holomorphic generators in the Hilbert ball, in “Recent Advances in Metric Fixed Point Theory”, University of Seville Press, 1996, 59–72.
  9. T. Kuczumow, S. Reich and A. Stachura, Holomorphic retracts of the open unit ball in the $l\sb \infty$-product of Hilbert spaces, in “Recent Advances inMetric Fixed Point Theory”, University of Seville Press, 1996, 99–110.

1997

  1. V. Khatskevich, S. Reich and D. Shoikhet, Ergodic methods for the construction of holomorphic retractions, New Results in Operator Theory and its Applications, Oper. Theory Adv. Appl., Vol. 98, Birkhäuser, Basel, 1997, 145–152.
  2. A. S. Ackleh and S. Reich, Inverse problems for nonautonomous nonlinear distributed parameter systems, Proc. 5th IEEE Med. Conf. on Control and Systems, Paphos, Cyprus, 1997.

1998

  1. A. S. Ackleh, S. Aizicovici, R. R. Ferdinand and S. Reich, Numerical studies of parameter estimation techniques for nonlinear Volterra equations, in “Theory and Practice of Controland Systems” , World Scientific, Singapore, 1998, 310–315.
  2. A. S. Ackleh, M. A. Demetriou and S. Reich, Detection and accommodation of second order distributed parameter systems with abrupt changes in the input term, existence and approximation (an announcement), in “Theory and Practice of Control and Systems”, WorldScientific, Singapore, 1998, 720–725.

1999

  1. S. Reich and A. J. Zaslavski, On the minimization of convex functionals, in “Calculus of Variations and Differential Equations” , CRC Press, Boca Raton, FL, 1999, 200–209.
  2. A. S. Ackleh, S. Aizicovici, R. R. Ferdinand and S. Reich, Parameter identification in a nonautonomous nonlinear Volterra integral equation, Proc. 7thMediterranean Conference on Control and Automation, Haifa, Israel, 1999, 2200–2206.
  3. S. Reich and A. J. Zaslavski, Asymptotic behavior of infinite products of order-preserving mappings in Banach space, Proc. 7th Mediterranean Conferenceon Control and Automation, Haifa, Israel, 1999.

2000

  1. M. Elin, S. Reich and D. Shoikhet, Asymptotic behavior of semigroups of holomorphic mappings, in “Semigroups of Operators,Theory and Applications”, Birkhäuser, Basel, 2000, 249–258.
  2. M. Gabour, S. Reich and A. J. Zaslavski, A class of dynamical systems with a convex Lyapunov function, in “Constructive, Experimental, and NonlinearAnalysis”, Canadian Mathematical Society Conference Proceedings, Vol. 27, 2000, 83–91.

2001

  1. S. Reich and A. J. Zaslavski, Generic convergence of infinite products of nonexpansive mappings in Banach and hyperbolic spaces, in “Optimization andRelated Topics“, Kluwer, Dordrecht, 2001, 371–402.
  2. D. Butnariu, S. Reich and A. J. Zaslavski, Asymptotic behavior of quasi-nonexpansive mappings, in “Inherently Parallel Algorithms in Feasibility andOptimization and their Applications”, Elsevier, Amsterdam, 2001, 49–68.
  3. M. Gabour, S. Reich and A. J. Zaslavski, Generic convergence of algorithms for solving stochastic feasibility problems, in “Inherently Parallel Algorithms inFeasibility and Optimization and their Applications”, Elsevier, Amsterdam, 2001, 279–295.
  4. S. Reich and A. J. Zaslavski, Generic convergence of minimization methods for convex functions, Proc. 6th International Conference on NonlinearFunctional Analysis and Applications, Nova Science Publishers, New York, Vol. 2, 2001, 73–88.
  5. T. Kuczumow, S. Reich and D. Shoikhet, Fixed points of holomorphic mappings, a metric approach, in “Handbook of Metric Fixed Point Theory”, Kluwer, Dordrecht, 2001, 437–515.
  6. S. Reich and A. J. Zaslavski, Generic aspects of metric fixed point theory, in “Handbook of Metric Fixed Point Theory”, Kluwer, Dordrecht, 2001, 557–575.
  7. V. Khatskevich, S. Reich and D. Shoikhet, One-parameter semigroups of fractional-linear transformations, in “Operator Theory”, Vol. 123, Birkhäuser Verlag, Basel, 2001,

401–411.

  1. A. S. Ackleh, S. Aizicovici, M. A. Demetriou and S. Reich, Existence and uniqueness of solutions to a second order nonlinear nonlocal hyperbolic equation, Differential Equationsand Control Theory, Marcel Dekker, New York and Basel, 2001, 1–17.

2002

  1. S. Reich and A. J. Zaslavski, Porosity in nonlinear analysis and optimization, Proceedingsof the Second International Conference on Nonlinear Analysis and Convex Analysis, Yokohama Publishers, Yokohama, 2002, 415–431.
  2. S. Reich and A. J. Zaslavski, Convergence results for discrete and continuous descent methods, Proceedings of the 10th Mediterranean Conference onControl and Automation, Lisboa, Portugal, 2002.
  3. S. Reich and A. J. Zaslavski, The set of divergent infinite pro ducts in a Bancah space is sigma-porous, Proceedings of the 10th Mediterranean Conferenceon Control and Automation, Lisboa, Portugal, 2002.
  4. S. Reich and A. J. Zaslavski, Convergence of iterates of nonexpansive set-valued mappings, Set-Valued Mappings with Applications in Nonlinear Analysis, Taylor & Francis, London, 2002, 411–420.

2003

  1. D. Butnariu, S. Reich and A. J. Zaslavski, Generic power convergence of nonlinear operators in Banach spaces, in “Fixed Point Theory and Applications”, Nova Sci. Publ., Hauppauge, NY, 2003, 35–49.
  2. S. Aizicovici, S. Reich and A. J. Zaslavski, Continuous descent methods, in “Seminar of Mathematical Analysis”(Malaga/Seville, 2002/2003), Colecc. Abierta, 64, Univ. Sevilla Secr. Publ., Seville, 2003, 23–39.
  3. S. Reich and A. J. Zaslavski, Generic convergence for a class of dynamical systems, in “Nonlinear Analysis and Applications”, Kluwer Acad. Publ., Dordrecht, 2003, 851–859.

2004

  1. S. Reich and A. J. Zaslavski, Many nonexpansive mappings are strict contractions, in “Abstract and Applied Analysis”, World Sci. Publ., River Edge, NJ, 2004, 305–311.
  2. M. Elin, A. Goldvard, S. Reich and D. Shoikhet, Dynamics of spirallike functions, Complex analysis and dynamical systems, Proceedingsof the International Conference on Complex Analysis and Dynamical Systems, Contemporary Math., Vol. 364, 2004, 41–57.
  3. S. Reich and A. J. Zaslavski, A porosity result for attracting mappings in hyperbolic spaces, Proceedings of the International Conference on ComplexAnalysis and Dynamical Systems, Contemporary Math., Vol. 364, 2004, 237–242.
  4. S. Reich and A. J. Zaslavski, Generic existence of small invariant sets, in “International Conference on Fixed Point Theory and Applications”, Yokohama Publ., Yokohama, 2004, 261–274.
  5. E. Matoušková, S. Reich and A. J. Zaslavski, Genericity in nonexpansive mapping theory, in “ Advanced Courses of Mathematical Analysis I”, World Sci. Publ., 2004, 81–98.

2005

  1. S. Reich and A. J. Zaslavski, Generic convergence of iterates for a class of nonlinear mappings in hyperbolic spaces, Complex Analysis and Dynamicalsystems II, Contemporary Math. Vol. 382, 2005, 349–355.
  2. S. Reich, Genericity and porosity in nonlinear analysis and optimization, ESI Preprint 1756, 2005, Proceedings of CMS’05(Computer Methods and Systems), Cracow, 2005,

9–15.

2006

  1. D. Butnariu, S. Reich and A. J. Zaslavski, Convergence to fixed points of inexact orbits of Bregman-monotone and of nonexpansive operators in Banach spaces, in “Fixed point theory and its applications”, Yokohama Publ., Yokohama, 2006, 11–32.

2007

  1. E. Kopecká and S. Reich, Nonexpansive retracts in Banach spaces, in “Fixed Point Theory and its Applications”, Banach Center Publ.Vol. 77, Polish Academy of Sciences,       Warsaw, 2007, 161—174.
  2. S. Reich and A. J. Zaslavski, Two generic results in fixed point theory, Banach Center Publ, Vol.77, Polish Academy of Sciences, Warsaw, 2007, 215–225.
  3. S. Reich and A. J. Zaslavski, Generic existence and non-existence of approximate fixed points, in “Fixed Point Theory and Applications”, Vol. 7, Nova Sci. Publ., New York, 2007, 167–171.

2008

  1. S. Aizicovici, S. Reich and A. J. Zaslavski, Dynamics of approximate solutions to a class of evolution equations in Banach spaces, in “Complex Analysis andDynamical Systems II”, Contemporary Math. Vol. 455, 2008, 23–33.
  2. M. Elin, S. Reich, D. Shoikhet and F. Yacobzon, Rates of convergence of one-parameter semigroups with boundary Denjoy-Wolff fixed points, in “Fixed Point Theory and its Applications”,Yokohama Publ., Yokohama, 2008, 43–58.

2010

  1. E. Kopecká, D. Reem and S. Reich,  Existence of zone diagrams in compact subsets of uniformly convex  spaces, CCCG 2010, Winnipeg, MB, 17–20.
  2. S. Reich and A. J. Zaslavski, Iterative schemes for set-valued mappings, Nonlinear Analysis and Convex Analysis, Yokohama Publishers, Yokohama, 2010, 299–310.

2011

  1. S. Reich and S. Sabach, Existence and approximation of fixed points of Bregman firmly nonexpansive mappings in reflexive Banach spaces, in “Fixed-point algorithms for inverse problems in science and engineering”, Springer Optim. Appl., Vol. 49, Springer, New York, NY, 2011, 301–316.
  2. S. Reich and A. J. Zaslavski, Convergence of inexact orbits of continuous mappings in complete metric spaces, in “Complex analysis and dynamical systems IV”, Part 1, Contemp. Math., Vol. 553, 2011, 259–265.

2012

  1. M. Gabour and S. Reich, The expected retraction method in Banach spaces, in “Optimization theory and related topics”, Contemp. Math., Vol. 568, 2012, 69–75.
  2. S. Reich and S. Sabach, Three strong convergence theorems regarding iterative methods for solving equilibrium problems in reflexive Banach spaces, in “Optimization theory and related topics”, Vol. 568, 2012, 225–240.

2013

  1. S. Reich and A. J. Zaslavski,  A fixed point theorem for contractive non-self mappings.  Complex analysis and dynamical systems V,pp. 205—209  , Contemp. Math. 591, Israel Math. Conf. Proc., Amer. Math. Soc., Providence, RI,  2013.
  2. V. Martín-Márquez,  S. Reich, and S. Sabach,  Existence and approximation of fixed points of right Bregman nonexpansive operators. Computational and analytical mathematics,  pp. 501—520, Springer Proc. Math. Stat. 50, Springer, New York,  2013.

2015

  1. S. Reich and A. J. Zaslavski,  Contractivity, porosity and infinite products.  Infinite products of operators and their applications,  pp. 203—209, Contemp. Math.636, Israel Math. Conf. Proc., Amer. Math. Soc., Providence, RI,  2015.
  2. E. Pustylnik and S. Reich, Infinite products of discontinuous operators.  Infinite products of operators and their applications, pp. 199—202, Contemp. Math.636, Israel Math. Conf. Proc., Amer. Math. Soc., Providence, RI,  2015.

2016

  1. S. Reich and A. J. Zaslavski,  A weak ergodic theorem for infinite products of holomorphic mappings. Complex analysis and dynamical systems VI. Part 2, pp.239–246 Contemp. Math. 667, Israel Math. Conf. Proc., Amer. Math. Soc., Providence, RI,  2016.
  2. S. Reich and A. J. Zaslavski,  Asymptotic centers, inexact orbits, and fixed points. Nonlinear analysis and optimization, pp. 273–281 , Contemp. Math.659, Amer. Math. Soc., Providence, RI,  2016.
  3. S. Reich and X. Wang,  A convex analytic inequality revisited.  Nonlinear analysis and optimization,  pp. 263–272 , Contemp. Math. 659, Amer. Math. Soc., Providence, RI,  2016

2017

  1. S. Reich and A. J. Zaslavski, A porosity theorem for a class of nonexpansive set-valued mappings. Complex analysis and dynamical systems VII, 275—282, Contemp. Math., 699, Amer. Math. Soc., Providence, RI,  2017.

  Books

  1. K. Goebel and S. Reich, Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings, Dekker, New York and Basel, 1984.
  2. S. Reich and D. Shoikhet, Nonlinear Semigroups, Fixed Points, and Geometry of Domainsin Banach Spaces, Imperial College Press, London, 2005
  3. S. Reich and A. J. Zaslavski,  Genericity in nonlinear analysis. Developments in Mathematics, 34. Springer, New York, 2014. xiv+520 pp. ISBN: 978-1-4614-9532-1; 978-1-4614-9533-8

Edited Books

  1. A. Ioffe, M. Marcus and S. Reich (Editors), Optimization and Nonlinear Analysis, Pitman Research Notes in Mathematics, Vol. 244, Longman, Harlow, 1992.
  2. Y. Censor and S. Reich (Editors), Recent Developments in Optimization Theory and Nonlinear Analysis, Contemporary Math., Vol. 204, AMS, Providence, RI, 1997.
  3. A. Ioffe, S. Reich and I. Shafrir (Editors), Calculus of Variations and Differential Equations, CRC Press, Boca Raton, FL, 1999.
  4. A. Ioffe, S. Reich and I. Shafrir (Editors), Calculus of Variations and Optimal Control, CRC Press, Boca Raton, FL, 1999.
  5. D. Butnariu, Y. Censor and S. Reich (Editors), Inherently Parallel Algorithms in Feasibility and Optimization and their Applications, Elsevier, Amsterdam, 2001.
  6. S. Reich (Editor), Proceedings of the International Conference on Fixed-Point Theory andits Applications, Hindawi Publishing Corporation, Cairo, 2003.
  7. E. Matoušková, S. Reich and A. J. Zaslavski (Editors), Proceeding of the International Workshop on Small Sets in Analysis, Hindawi Publishing Corporation, New York, 2005.
  8. J. Jachymski and S. Reich, (Editors), Fixed Point Theory and its Applications, Banach Center Publications, Vol. 77, Polish Academy of Sciences, Warsaw, 2007.
  9. M. Agranovsky, D. Bshouty, L. Karp, S. Reich, D. Shoikhet and L. Zalcman (Editors), Complex Analysis and Dynamical Systems III, Contemporary Mathematics, Vol. 455, Amer. Math. Soc., Providence, RI, 2008.
  10. C. C. Cotta, S. Reich, R. Schaefer and A. Ligeza (Editors), Knowledge-Driven Computing. Knowledge Engineering and Intelligent Computations, Studies in Computational Intelligence, Vol. 102, Springer, Berlin, 2008.
  11. M. Agranovsky, M. Ben-Artzi, G. Galloway, L. Karp, S. Reich, D. Shoikhet, G. Weinstein and L. Zalcman (Editors), Complex Analysis and Dynamical Systems IV, Part 1, Contemporary Mathematics, Vol. 553, Amer. Math. Soc., Providence, RI, 2011.
  12. M. Agranovsky, M. Ben-Artzi, G. Galloway, L. Karp, S. Reich, D. Shoikhet, G. Weinstein and L. Zalcman (Editors), Complex Analysis and Dynamical Systems IV, Part 2, Contemporary Mathematics, Vol. 554, Amer. Math. Soc., Providence, RI, 2011.
  13. S. Reich and A. J. Zaslavski (Editors), Optimization Theory and Related Topics, Contemporary Mathematics, Vol. 568, Amer. Math. Soc., Providence, RI, 2012.

 Book Review

  1. S. Reich, Book Review, Geometry of Banach spaces, duality mappings and nonlinear problems, Bull. Amer. Math. Soc. (N.S.)26 (1992), 367–370.

 Research Reports

  1. S. Reich, Some problems in nonlinear functional analysis, The Altgeld Book 1975/76, University of Illinois Functional Analysis Seminar, pp. xii.1-xii.18.
  2. S. Reich, On the equivalence between resolvent consistency and convergence for nonlinear quasi-contractive algorithms, Argonne National Laboratory Report #79-53, 1979.
  3. S. Reich, Nonlinear ergodic theory in Banach spaces, Argonne National Laboratory Report #79-69, 1979.
  4. S. Reich and Y. Sternfeld, Some non-compact fixed point spaces, Longhorn Notes, Texas Functional Analysis Seminar, 1983-84, pp. 151-159.
  5. J. M. Dye, T. Kuczumow and S. Reich, The random product of two nonexpansive mappings in spaces with the Opial property, Technion Preprint Series, No. MT-982, 1993.

Other Publications

  1. S. Reich and A. J. Zaslavski, Preface to the special issue on nonlinear functional analysis and its applications, Int. J. Math. Stat.6 (2010), 1.