Simeon Reich

Research interests

Publications

• Genericity in Nonlinear Analysis

  Developments in mathematics · 2013 · https://doi.org/10.1007/978-1-4614-9533-8

• Algorithms for the Split Variational Inequality Problem

  Numerical Algorithms · 2011 · https://doi.org/10.1007/s11075-011-9490-5

• Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space

  Optimization methods & software · 2011 · https://doi.org/10.1080/10556788.2010.551536

• Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces

  Numerical Functional Analysis and Optimization · 2010 · https://doi.org/10.1080/01630560903499852

• The Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Space

  Journal of Optimization Theory and Applications · 2010 · https://doi.org/10.1007/s10957-010-9757-3

• Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces

  Nonlinear Analysis · 2010 · https://doi.org/10.1016/j.na.2010.03.005

• Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space

  Optimization · 2010 · https://doi.org/10.1080/02331934.2010.539689

• Projection and proximal point methods: convergence results and counterexamples

  Nonlinear Analysis · 2003 · https://doi.org/10.1016/j.na.2003.10.010

• Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces

  Numerical Functional Analysis and Optimization · 2003 · https://doi.org/10.1081/nfa-120023869

• Proximinal Retracts and Best Proximity Pair Theorems

  Numerical Functional Analysis and Optimization · 2003 · https://doi.org/10.1081/nfa-120026380

• Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces

  Journal of Applied Analysis · 2001 · https://doi.org/10.1515/jaa.2001.151

• Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization

  Optimization · 1996 · https://doi.org/10.1080/02331939608844225

• Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property

  Colloquium Mathematicum · 1993 · https://doi.org/10.4064/cm-65-2-169-179

• Nonexpansive iterations in hyperbolic spaces

  Nonlinear Analysis · 1990 · https://doi.org/10.1016/0362-546x(90)90058-o

• Fixed point theory in modular function spaces

  Nonlinear Analysis · 1990 · https://doi.org/10.1016/0362-546x(90)90111-s

• Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings

  Journal · 1984

• Strong convergence theorems for resolvents of accretive operators in Banach spaces

  Journal of Mathematical Analysis and Applications · 1980 · https://doi.org/10.1016/0022-247x(80)90323-6

• Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces

  Israel Journal of Mathematics · 1979 · https://doi.org/10.1007/bf02761184

• Weak convergence theorems for nonexpansive mappings in Banach spaces

  Journal of Mathematical Analysis and Applications · 1979 · https://doi.org/10.1016/0022-247x(79)90024-6

• Approximate selections, best approximations, fixed points, and invariant sets

  Journal of Mathematical Analysis and Applications · 1978 · https://doi.org/10.1016/0022-247x(78)90222-6

• Asymptotic behavior of contractions in Banach spaces

  Journal of Mathematical Analysis and Applications · 1973 · https://doi.org/10.1016/0022-247x(73)90024-3

• Fixed points of contractive functions

  Bollettino Della Unione Matematica Italiana · 1972

• Some Remarks Concerning Contraction Mappings

  Canadian Mathematical Bulletin · 1971 · https://doi.org/10.4153/cmb-1971-024-9

Current projects

No projects listed.