On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces
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Publication:4804062
DOI10.1090/S0002-9939-02-06844-2zbMath1031.47038MaRDI QIDQ4804062
Publication date: 10 April 2003
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Related Items
Strong convergence theorems for fixed points of asymptotically pseudocontractive semi-groups ⋮ Approximation results for split equilibrium problems and fixed point problems of nonexpansive semigroup in Hilbert spaces ⋮ Iterative approximation for split common fixed point problem involving an asymptotically nonexpansive semigroup and a total asymptotically strict pseudocontraction ⋮ Strong convergence of asymptotically pseudocontractive semigroup by viscosity iteration ⋮ Strong convergence theorems for common fixed points of uniformlyL-Lipschitzian pseudocontractive semi-groups ⋮ Strong convergence theorems for fixed points of pseudo-contractive semigroup ⋮ Strong Convergence Theorems for Continuous Semigroups of Asymptotically Nonexpansive Mappings ⋮ Characterizations of common fixed points of one-parameter nonexpansive semigroups, and convergence theorems to common fixed points ⋮ Moudafi's viscosity approximations with Meir--Keeler contractions ⋮ Regularization methods for nonexpansive semigroups in Hilbert spaces ⋮ Convergence theorem for finite family of Lipschitzian demi-contractive semigroups ⋮ Modified Noor iterations for nonexpansive semigroups with generalized contraction in Banach spaces ⋮ Large strong convergence theorems for total asymptotically strict pseudocontractive semigroup in Banach spaces ⋮ Strong and weak convergence of an implicit iterative process for pseudocontractive semigroups in Banach space ⋮ Strong convergence theorems of quasi-\(\phi\)-asymptotically nonexpansive semi-groups in Banach spaces ⋮ Strong convergence theorems for semigroups of asymptotically nonexpansive mappings in Banach spaces ⋮ Browder's type convergence theorems for one-parameter semigroups of nonexpansive mappings in Banach spaces ⋮ Strong convergence theorems for solving a general system of finite variational inequalities for finite accretive operators and fixed points of nonexpansive semigroups with weak contraction mappings ⋮ A strong convergence to a common fixed point of a subfamily of a nonexpansive evolution family of bounded linear operators on a Hilbert space ⋮ Hybrid method for equilibrium problems and fixed point problems of finite families of nonexpansive semigroups ⋮ Strong convergence of a CQ method for \(k\)-strictly asymptotically pseudocontractive mappings ⋮ Convergence theorems of common fixed points for some semigroups of nonexpansive mappings in complete CAT(0) spaces ⋮ Total quasi-\(\phi\)-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spaces ⋮ Approximation of fixed points of pseudocontraction semigroups based on a viscosity iterative process ⋮ Iterative methods for solving equilibrium problems, variational inequalities and fixed points of nonexpansive semigroups ⋮ Browder's type strong convergence theorems for infinite families of nonexpansive mappings in Banach spaces ⋮ Unnamed Item ⋮ Inertial-based extragradient algorithm for approximating a common solution of split-equilibrium problems and fixed-point problems of nonexpansive semigroups ⋮ Iterative methods for variational inequalities over the intersection of the fixed points set of a nonexpansive semigroup in Banach spaces ⋮ Viscosity approximation methods for pseudo-contractive semigroups in Banach spaces ⋮ The general iterative methods for nonexpansive semigroups in Banach spaces ⋮ Existence and convergence theorems concerning common fixed points of nonlinear semigroups of weak contractions ⋮ A viscosity approximation method with a weakly contractive mapping of general iterative processes for nonexpansive semigroups in Banach spaces ⋮ An implicit iteration process for nonexpansive semigroups ⋮ A general iterative method for a nonexpansive semigroup in Banach spaces with gauge functions ⋮ Implicit and explicit iterations with Meir-Keeler-type contraction for a finite family of nonexpansive semigroups in Banach spaces ⋮ Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions ⋮ Convergence theorem for a family of generalized asymptotically nonexpansive semigroup in Banach spaces ⋮ Viscosity iterative scheme for generalized mixed equilibrium problems and nonexpansive semigroups ⋮ Mosco convergence of the sets of fixed points for one-parameter nonexpansive semigroups ⋮ Strong convergence theorems for nonexpansive semigroups without Bochner integrals ⋮ Strong Convergence of New Iteration Process for a Strongly Continuous Semigroup of Asymptotically Pseudocontractive Mappings ⋮ Strong convergence theorems for nonexpansive semi-groups in Banach spaces ⋮ The set of common fixed points of a one-parameter continuous semigroup of mappings is 𝐹\big(𝑇(1)\big)∩𝐹\big(𝑇(√2)\big) ⋮ Approximating common fixed points of Lipschitzian pseudocontraction semigroups ⋮ Viscosity approximation of common fixed points of nonexpansive semigroups in Banach space ⋮ Strong convergence theorems of the CQ method for nonexpansive semigroups ⋮ Strong convergence theorems for nonexpansive semigroup in Banach spaces ⋮ Viscosity approximation methods for nonexpansive semigroups in CAT(0) spaces ⋮ Strong convergence theorems for a finite family of total asymptotically strict pseudocontractive semigroups in Banach spaces ⋮ Moudafi's viscosity approximations with demi-continuous and strong pseudo-contractions for non-expansive semigroups ⋮ Browder's convergence for uniformly asymptotically regular nonexpansive semigroups in Hilbert spaces ⋮ Some characterizations for a family of nonexpansive mappings and convergence of a generated sequence to their common fixed point ⋮ Convergence theorems of modified Ishikawa iterative scheme for two nonexpansive semigroups ⋮ Strong convergence theorems for Lipschitzian demicontraction semigroups in Banach spaces ⋮ On convergence of iteration processes for nonexpansive semigroups in uniformly convex and uniformly smooth Banach spaces ⋮ Common fixed points of one-parameter nonexpansive semigroups in strictly convex Banach spaces ⋮ Strong convergence theorems of the general iterative methods for nonexpansive semigroups in Banach spaces ⋮ Modified Mann iterations for nonexpansive semigroups in Banach space ⋮ Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals ⋮ Nonexpansive semigroups in \(\mathrm{CAT}(\kappa)\) spaces ⋮ An iterative method for equilibrium, variational inequality, and fixed point problems for a nonexpansive semigroup in Hilbert spaces ⋮ Strong convergence theorems for a semigroup of nonexpansive mappings in Banach spaces ⋮ Strong convergence of viscosity iterations with error terms for cosine families in Banach spaces ⋮ Approximating common fixed points of Lipschitzian semigroup in smooth Banach spaces ⋮ Common fixed points of a nonexpansive semigroup and a convergence theorem for Mann iterations in geodesic metric spaces ⋮ Regularization methods for accretive variational inequalities over the set of common fixed points of nonexpansive semigroups ⋮ A strong convergence theorem for contraction semigroups in Banach spaces ⋮ Convergence theorem of common fixed points for Lipschitzian pseudocontraction semigroups in Banach spaces ⋮ Convergence theorems for strongly continuous semi-groups of asymptotically nonexpansive mappings ⋮ Viscosity approximation of common fixed points for \(L\)-Lipschitzian semigroup of pseudocontractive mappings in Banach spaces ⋮ Approximation of common fixed points of asymptotically nonexpansive cosine family based on modified Ishikawa iterations ⋮ Viscosity approximation methods for two nonexpansive semigroups in CAT(0) spaces
Cites Work
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- Extension problems for accretive sets in Banach spaces
- Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
- Approximating Zeros of Accretive Operators
- Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
- FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
- NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
- Fixed points of nonexpanding maps
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
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