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Simeon Reich
Articles in Scholarly Journals [Incomplete List]
Two results in metric fixed point theory
Journal of Fixed Point Theory and Applications, vol. 1, no. 1, pp. 149–157, 2007
Fitzpatrick functions, cyclic monotonicity and Rockafellar’s antiderivative
Nonlinear Analysis, vol. 66, no. 5, pp. 1198–1223, 2007
A Note on Asymptotic Contractions
Fixed Point Theory and Applications, vol. 2007, Article ID 39465, 6 pages, 2007
Hyperbolic monotonicity in the Hilbert ball
Fixed Point Theory and Applications, vol. 2006, Article ID 78104, 15 pages, 2006
Infinite products of holomorphic mappings
Abstract and Applied Analysis, vol. 2005, no. 4, pp. 327–341, 2005
A note on well-posed null and fixed point problems
Fixed Point Theory and Applications, vol. 2005, no. 2, pp. 207–211, 2005
An explicit construction of sunny nonexpansive retractions in Banach spaces
Fixed Point Theory and Applications, vol. 2005, no. 3, pp. 295–305, 2005
Proceedings of the American Mathematical Society, vol. 133, no. 09, pp. 2657–2661, 2005
The asymptotic behavior of the composition of two resolvents
Nonlinear Analysis, vol. 60, no. 2, pp. 283–301, 2005
Most continuous descent methods converge
Archiv der Mathematik, vol. 85, no. 3, pp. 268–277, 2005
Convergence theorems for continuous descent methods
Journal of Evolution Equations, vol. 4, no. 1, pp. 139–156, 2004
Projection and proximal point methods: convergence results and counterexamples
Nonlinear Analysis, vol. 56, no. 5, pp. 715–738, 2004
Generic convergence of iterates for a class of nonlinear mappings
Fixed Point Theory and Applications, vol. 2004, no. 3, pp. 211–220, 2004
Iterative methods for solving fixed-point problems with nonself-mappings in Banach spaces
Abstract and Applied Analysis, vol. 2003, no. 4, pp. 193–216, 2003
A weak ergodic theorem for infinite products of Lipschitzian mappings
Abstract and Applied Analysis, vol. 2003, no. 2, pp. 67–74, 2003
An iterative approach to a constrained least squares problem
Abstract and Applied Analysis, vol. 2003, no. 8, pp. 503–512, 2003
Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces
Numerical Functional Analysis and Optimization, vol. 24, no. 5-6, pp. 489–508, 2003
Proximinal Retracts and Best Proximity Pair Theorems
Numerical Functional Analysis and Optimization, vol. 24, no. 7-8, pp. 851–862, 2003
Fixed set iterations for relaxed Lipschitz multimaps
Nonlinear Analysis, vol. 53, no. 7-8, pp. 997–1015, 2003
Finding the projection of a point onto the intersection of convex sets via projections onto half-spaces
Journal of Approximation Theory, vol. 124, no. 2, pp. 194–218, 2003
Galerkin spectral synthesis methods for diffusion equations with general boundary conditions
Annals of Nuclear Energy, vol. 29, no. 8, pp. 913–927, 2002
Asymptotic behavior of semigroups of ρ-non-expansive and holomorphic mappings on the Hilbert Ball
Annali di Matematica Pura ed Applicata, vol. 181, no. 4, pp. 501–526, 2002
Set-Valued Analysis, vol. 10, no. 4, pp. 287–296, 2002
Dynamics of inequalities in geometric function theory
Journal of Inequalities and Applications, vol. 6, no. 6, pp. 651–664, 2001
The Set of Divergent Descent Methods in a Banach Space is \boldmath$\sigma$\unboldmath-Porous
SIAM Journal on Optimization, vol. 11, no. 4, p. 1003, 2001
Generic existence and uniqueness of positive eigenvalues and eigenvectors
Integral Equations and Operator Theory, vol. 41, no. 4, pp. 455–471, 2001
Attracting Mappings in Banach and Hyperbolic Spaces
Journal of Mathematical Analysis and Applications, vol. 253, no. 1, pp. 250–268, 2001
A mean ergodic theorem for mappings which are asymptotically nonexpansive in the intermediate sense
Nonlinear Analysis, vol. 47, no. 4, pp. 2731–2742, 2001
Porosity of the set of divergent descent methods
Nonlinear Analysis, vol. 47, no. 5, pp. 3247–3258, 2001
A semigroup approach to the geometry of domains in complex Banach spaces
Nonlinear Analysis, vol. 47, no. 5, pp. 3271–3280, 2001
Schröder's functional equation and the Koenigs embedding property
Nonlinear Analysis, vol. 47, no. 6, pp. 3977–3988, 2001
The existence and non-existence of common fixed points for commuting families of holomorphic mappings
Nonlinear Analysis, vol. 43, no. 1, pp. 45–59, 2001
Anti-periodic solutions to nonmonotone evolution equations with discontinuous nonlinearities
Nonlinear Analysis, vol. 43, no. 2, pp. 233–251, 2001
Weak convergence theorems for asymptotically nonexpansive mappings and semigroups
Nonlinear Analysis, vol. 43, no. 3, pp. 377–401, 2001
L'ensemble des applications non contractives est s-poreux dans l'espace de toutes les applications non expansives
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 333, no. 6, pp. 539–544, 2001
Convergence of Krasnoselskii-Mann iterations of nonexpansive operators
Mathematical and Computer Modelling, vol. 32, no. 11-13, pp. 1423–1431, 2000
Generic power convergence of order-preserving mappings
Nonlinear Analysis, vol. 40, no. 1-8, pp. 537–547, 2000
A Mean Ergodic Theorem for Nonlinear Semigroups which are Asymptotically Nonexpansive in the Intermediate Sense
Journal of Mathematical Analysis and Applications, vol. 246, no. 1, pp. 1–27, 2000
Generic Convergence of Descent Methods in Banach Spaces
Mathematics of Operations Research, vol. 25, no. 2, pp. 231–242, 2000
Parameter identification in nonlocal nonlinear evolution equations
Numerical Functional Analysis and Optimization, vol. 21, no. 5, pp. 553–570, 2000
An interior flow invariance condition for nonlinear semigroups on convex domains in banach spaces
Numerical Functional Analysis and Optimization, vol. 20, no. 3, pp. 333–339, 1999
Generic power convergence of operators in banach spaces
Numerical Functional Analysis and Optimization, vol. 20, no. 7, pp. 629–650, 1999
Convergence of generic infinite products of affine operators
Abstract and Applied Analysis, vol. 4, no. 1, pp. 1–19, 1999
The Denjoy–Wolff Theorem in the Open Unit Ball of a Strictly Convex Banach Space
Advances in Mathematics, vol. 143, no. 1, pp. 111–123, 1999
The Denjoy–Wolff Theorem for Condensing Holomorphic Mappings
Journal of Functional Analysis, vol. 167, no. 1, pp. 79–93, 1999
Generic convergence of infinite products of positive linear operators
Integral Equations and Operator Theory, vol. 35, no. 2, pp. 232–252, 1999
Convergence of generic infinite products of nonexpansive and uniformly continuous operators
Nonlinear Analysis, vol. 36, no. 8, pp. 1049–1065, 1999
Positivity, vol. 3, no. 1, pp. 1–21, 1999
Asymptotic Behavior of Solutions of Evolution Equations and the Construction of Holomorphic Retractions
Mathematische Nachrichten, vol. 189, no. 1, pp. 171–178, 1998
Uniform asymptotic normal structure, the uniform semi-Opial property and fixed points of asymptotically regular uniformly lipschitzian semigroups. Part I
Abstract and Applied Analysis, vol. 3, no. 1-2, pp. 133–151, 1998
Metric domains, holomorphic mappings and nonlinear semigroups
Abstract and Applied Analysis, vol. 3, no. 1-2, pp. 203–228, 1998
Uniform asymptotic normal structure, the uniform semi-Opial property, and fixed points of asymptotically regular uniformly lipschitzian semigroups. Part II
Abstract and Applied Analysis, vol. 3, no. 3-4, pp. 247–263, 1998
Parameter estimation in nonlinear evolution equations
Numerical Functional Analysis and Optimization, vol. 19, no. 9, pp. 933–947, 1998
Model Reference Adaptive Control of Distributed Parameter Systems
SIAM Journal on Control and Optimization, vol. 36, no. 1, p. 33, 1998
Results and conjectures in holomorphic fixed point theory
Nonlinear Analysis, vol. 30, no. 6, pp. 3529–3538, 1997
Computational Optimization and Applications, vol. 8, no. 1, pp. 21–39, 1997
Convergence of unrestricted products of nonexpansive mappings in spaces with the opial property
Nonlinear Analysis, vol. 26, no. 4, pp. 767–773, 1996
One-Sided Estimates for the Existence of Null Points of Holomorphic Mappings in Banach Spaces
Journal of Mathematical Analysis and Applications, vol. 203, no. 1, pp. 38–54, 1996
Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
Optimization, vol. 37, no. 4, pp. 323–339, 1996
Generation theory for semigroups of holomorphic mappings in Banach spaces
Abstract and Applied Analysis, vol. 1, no. 1, pp. 1–44, 1996
Fixed point theorems for holomorphic mappings and operator theory in indefinite metric spaces
Integral Equations and Operator Theory, vol. 22, no. 3, pp. 305–316, 1995
Approximation in the identification of nonlinear degenerate distributed parameter systems
Nonlinear Analysis, vol. 22, no. 1, pp. 91–120, 1994
Minimal Displacement of Points Under Holomorphic Mappings and Fixed Point Properties for Unions of Convex Sets
Transactions of the American Mathematical Society, vol. 343, no. 2, p. 575, 1994
A Fixed Point Property of l 1 -Product Spaces
Proceedings of the American Mathematical Society, vol. 119, no. 2, p. 457, 1993
An approximation theory for the identification of nonlinear volterra equations
Numerical Functional Analysis and Optimization, vol. 14, no. 3, pp. 213–227, 1993
Strong asymptotic normal structure and fixed points in product spaces
Nonlinear Analysis, vol. 21, no. 7, pp. 501–515, 1993
Unrestricted iterations of nonexpansive mappings in Hilbert space
Nonlinear Analysis, vol. 18, no. 2, pp. 199–207, 1992
Unrestricted iterations of nonexpansive mappings in Banach spaces
Nonlinear Analysis, vol. 19, no. 10, pp. 983–992, 1992
The asymptotic behavior of a class of nonlinear semigroups in the Hilbert ball
Journal of Mathematical Analysis and Applications, vol. 157, no. 1, pp. 237–242, 1991
An existence theorem for a difference inclusion in general Banach spaces
Journal of Mathematical Analysis and Applications, vol. 160, no. 2, pp. 406–412, 1991
On the unrestricted iteration of projections in Hilbert space
Journal of Mathematical Analysis and Applications, vol. 156, no. 1, pp. 101–119, 1991
Galerkin approximation for inverse problems for nonautonomous nonlinear distributed systems
Applied Mathematics & Optimization, vol. 24, no. 1, pp. 233–256, 1991
Random Products of Contractions in Banach Spaces
Transactions of the American Mathematical Society, vol. 325, no. 1, p. 87, 1991
SIAM Journal on Control and Optimization, vol. 28, no. 3, Article ID 0328033, 1990
Nonexpansive iterations in hyperbolic spaces
Nonlinear Analysis, vol. 15, no. 6, pp. 537–558, 1990
Fixed point theory in modular function spaces
Nonlinear Analysis, vol. 14, no. 11, pp. 935–953, 1990
Parameter estimation in nonlinear distributed systems-approximation theory and convergence results
Applied Mathematics Letters, vol. 1, no. 3, pp. 211–216, 1988
Admissible pairs and integral equations1
Journal of Mathematical Analysis and Applications, vol. 121, no. 1, pp. 79–90, 1987
The Asymptotic Behavior of Firmly Nonexpansive Mappings
Proceedings of the American Mathematical Society, vol. 101, no. 2, p. 246, 1987
An incomplete Cauchy problem
Journal of Mathematical Analysis and Applications, vol. 113, no. 2, pp. 514–543, 1986
Averaged mappings in the Hilbert ball*1
Journal of Mathematical Analysis and Applications, vol. 109, no. 1, pp. 199–206, 1985
Asymptotic behavior of solutions to nonlinear Volterra integral equations
Journal of Mathematical Analysis and Applications, vol. 104, no. 1, pp. 155–172, 1984
Solutions of two problems of H. Brezis*1
Journal of Mathematical Analysis and Applications, vol. 95, no. 1, pp. 243–250, 1983
A note on the mean ergodic theorem for nonlinear semigroups*1
Journal of Mathematical Analysis and Applications, vol. 91, no. 2, pp. 547–551, 1983
The asymptotics of nonexpansive iterations
Journal of Functional Analysis, vol. 54, no. 3, pp. 308–319, 1983
A limit theorem for projections
Linear and Multilinear Algebra, vol. 13, no. 3, pp. 281–290, 1983
The Almost Fixed Point Property for Nonexpansive Mappings
Proceedings of the American Mathematical Society, vol. 88, no. 1, p. 44, 1983
On the asymptotic behavior of nonlinear semigroups and the range of accretive operators II
Journal of Mathematical Analysis and Applications, vol. 87, no. 1, pp. 134–146, 1982
Strong and weak convergence theorems for locally nonexpansive mappings in Banach spaces1
Nonlinear Analysis, vol. 6, no. 2, pp. 151–155, 1982
On the asymptotic behavior of nonlinear semigroups and the range of accretive operators*1
Journal of Mathematical Analysis and Applications, vol. 79, no. 1, pp. 113–126, 1981
A nonlinear Hille-Yosida theorem in Banach spaces
Journal of Mathematical Analysis and Applications, vol. 84, no. 1, pp. 1–5, 1981
Asymptotic behavior of solutions of a nonlinear evolution equation
Journal of Mathematical Analysis and Applications, vol. 83, no. 1, pp. 43–53, 1981
A characterization of nonlinear ?-accretive operators
Manuscripta Mathematica, vol. 36, no. 2, pp. 163–178, 1981
Convergence of semigroups with an application to the carleman equation
Mathematical Methods in the Applied Sciences, vol. 2, no. 3, pp. 303–308, 1980
Product formulas, nonlinear semigroups, and accretive operators*1
Journal of Functional Analysis, vol. 36, no. 2, pp. 147–168, 1980
Convergence and approximation of nonlinear semigroups*1
Journal of Mathematical Analysis and Applications, vol. 76, no. 1, pp. 77–83, 1980
A fixed point theorem for Fréchet spaces
Journal of Mathematical Analysis and Applications, vol. 78, no. 1, pp. 33–35, 1980
Strong convergence theorems for resolvents of accretive operators in Banach spaces1
Journal of Mathematical Analysis and Applications, vol. 75, no. 1, pp. 287–292, 1980
A general convergence principle in nonlinear functional analysis
Nonlinear Analysis, vol. 4, no. 5, pp. 939–950, 1980
Weak convergence theorems for nonexpansive mappings in Banach spaces
Journal of Mathematical Analysis and Applications, vol. 67, no. 2, pp. 274–276, 1979
The range of sums of accretive and monotone operators
Journal of Mathematical Analysis and Applications, vol. 68, no. 1, pp. 310–317, 1979
Fixed point theorems for set-valued mappings
Journal of Mathematical Analysis and Applications, vol. 69, no. 2, pp. 353–358, 1979
Approximate selections, best approximations, fixed points, and invariant sets
Journal of Mathematical Analysis and Applications, vol. 62, no. 1, pp. 104–113, 1978
Almost convergence and nonlinear ergodic theorems
Journal of Approximation Theory, vol. 24, no. 4, pp. 269–272, 1978
An iterative procedure for constructing zeros of accretive sets in Banach spaces
Nonlinear Analysis, vol. 2, no. 1, pp. 85–92, 1978
Nonlinear evolution equations and nonlinear ergodic theorems
Nonlinear Analysis, vol. 1, no. 4, pp. 319–330, 1977
Asymptotic behavior of semigroups of nonlinear contractions in Banach spaces
Journal of Mathematical Analysis and Applications, vol. 53, no. 2, pp. 277–290, 1976
On fixed point theorems obtained from existence theorems for differential equations
Journal of Mathematical Analysis and Applications, vol. 54, no. 1, pp. 26–36, 1976
Approximating Zeros of Accretive Operators
Proceedings of the American Mathematical Society, vol. 51, no. 2, p. 381, 1975
A Poincare Type Coincidence Theorem
The American Mathematical Monthly, vol. 81, no. 1, p. 52, 1974
A Remark on C σ Spaces
Proceedings of the American Mathematical Society, vol. 40, no. 1, p. 215, 1973
Asymptotic behavior of contractions in Banach spaces
Journal of Mathematical Analysis and Applications, vol. 44, no. 1, pp. 57–70, 1973
Fixed points of condensing functions
Journal of Mathematical Analysis and Applications, vol. 41, no. 2, pp. 460–467, 1973
Fixed points in locally covex spaces
Mathematische Zeitschrift, vol. 125, no. 1, pp. 17–31, 1972
On Aitken's \triangle 2 -Method
The American Mathematical Monthly, vol. 77, no. 3, p. 283, 1970