On Reich's strong convergence theorems for resolvents of accretive operators

From MaRDI portal

Publication:1080161

Jump to:navigation, search

DOI10.1016/0022-247X(84)90019-2zbMath0599.47084OpenAlexW2087189541MaRDI QIDQ1080161

Yoichi Ueda, Takahashi, Wataru

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(84)90019-2

zbMATH Keywords

accretive operator resolvent strong convergence theorem Banach limits

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Related Items

On the asymptotic behavior of infinite products of resolvents in Banach spaces ⋮ Strong convergence of approximants to fixed points of nonexpansive nonself-mappings in Banach spaces ⋮ Strong convergence theorems for common fixed points of uniformlyL-Lipschitzian pseudocontractive semi-groups ⋮ General iterative methods for common fixed points of asymptotically nonexpansive mappings ⋮ Strong Convergence Theorems for Continuous Semigroups of Asymptotically Nonexpansive Mappings ⋮ Unnamed Item ⋮ Strong convergence of an iterative method for non‐expansive mappings ⋮ A hybrid method for solving variational inequalities over the common fixed point sets of infinite families of nonexpansive mappings in Banach spaces ⋮ Unnamed Item ⋮ The finitary content of sunny nonexpansive retractions ⋮ Strong Convergence of New Algorithm for Monotone Operator in Banach Spaces ⋮ Unnamed Item ⋮ Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces ⋮ Convergence of approximated sequences for nonexpansive mappings ⋮ Strong convergence results for nonself multimaps in Banach spaces ⋮ Strong convergence of averaged approximants for Lipschitz pseudocontractive maps ⋮ Approximation Methods for a Common Fixed Point of a Finite Family of Nonexpansive Mappings ⋮ Iterative solutions for zeros of multivalued accretive operators ⋮ COMPUTATION OF ZEROS OF MONOTONE TYPE MAPPINGS: ON CHIDUME’S OPEN PROBLEM ⋮ Minimum-norm solution of variational inequality and fixed point problem in banach spaces ⋮ Unnamed Item ⋮ The asymptotic behavior of nonlinear semigroups and invariant means ⋮ An explicit iteration for zeros of accretive operators ⋮ A new explicit iteration method for a class of variational inequalities ⋮ Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space ⋮ On sufficient conditions ensuring the norm convergence of an iterative sequence to zeros of accretive operators ⋮ On Reich's open question ⋮ Approximation of common fixed points of strongly nonexpansive sequences in a Banach space ⋮ Strong convergence of modified Halpern's iterations for a \(k\)-strictly pseudocontractive mapping ⋮ The modified general iterative methods for asymptotically nonexpansive semigroups in Banach spaces ⋮ Iterative algorithm for multi-valued pseudocontractive mappings in Banach spaces ⋮ Strong convergence theorems on an iterative method for a family of finite nonexpansive mappings ⋮ On viscosity iterative methods for variational inequalities ⋮ On relaxed viscosity iterative methods for variational inequalities in Banach spaces ⋮ Approximation of fixed points of nonexpansive mapping in Banach spaces ⋮ A steepest-descent Krasnosel'skii-Mann algorithm for a class of variational inequalities in Banach spaces ⋮ Strong convergence theorems for approximating common fixed points of families of nonexpansive mappings and applications ⋮ The closedness property and the pseudo-A-properness of accretive operators ⋮ Convergence to common fixed point of nonexpansive semigroups ⋮ Convergence theorem for an iterative algorithm of \(\lambda\)-strict pseudocontraction ⋮ Viscosity approximation methods for pseudocontractive mappings in Banach spaces ⋮ Convergence of a hybrid viscosity approximation method for finding zeros of \(m\)-accretive operators ⋮ An algorithm with general errors for the zero point of monotone mappings in Banach spaces ⋮ Browder's type convergence theorems for one-parameter semigroups of nonexpansive mappings in Banach spaces ⋮ Strong convergence theorems for multivalued nonexpansive nonself-mappings in Banach spaces ⋮ On Reich's strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces ⋮ Approximation of zeros of accretive operators in a Banach space ⋮ Convergence theorems of iterative algorithms for continuous pseudocontractive mappings ⋮ Minimum-norm fixed point of pseudocontractive mappings ⋮ Browder's type strong convergence theorems for infinite families of nonexpansive mappings in Banach spaces ⋮ Approximation of fixed points for amenable semigroups of nonexpansive mappings in Banach spaces ⋮ Approximation of the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings ⋮ Iterative methods for a class of variational inequalities in Hilbert spaces ⋮ Strong convergence of viscosity approximation methods for the fixed-point of pseudo-contractive and monotone mappings ⋮ Viscosity approximation methods with weak contraction for L-Lipschitzian pseudocontractive self-mapping ⋮ Strong convergence theorems for a semigroup of asymptotically nonexpansive mappings ⋮ The general iterative methods for asymptotically nonexpansive semigroups in Banach spaces ⋮ Strong convergence of modified Halpern iterations in \(\mathrm{CAT}(0)\) spaces ⋮ Strong convergence theorems for nonexpansive semigroups and variational inequalities in Banach spaces ⋮ Strong convergence theorems for zeros of bounded maximal monotone nonlinear operators ⋮ New algorithms for a class of accretive variational inequalities in Banach spaces ⋮ New iteration algorithms for an asymptotically nonexpansive mapping ⋮ Regularization methods for nonlinear ill-posed equations involving \(m\)-accretive mappings in Banach spaces ⋮ Strong convergence of iterative methods by strictly pseudocontractive mappings in Banach spaces ⋮ Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions ⋮ Resolvents of set-valued monotone vector fields in Hadamard manifolds ⋮ Iterative convergence to Cesàro means for continuous pseudocontractive mappings ⋮ Strong convergence of iteration algorithms for a countable family of nonexpansive mappings ⋮ Strong convergence theorems for maximal monotone mappings in Banach spaces ⋮ Viscosity approximation methods with errors and strong convergence theorems for a common point of pseudocontractive and monotone mappings: solutions of variational inequality problems ⋮ Uniform normal structure and solutions of Reich's open question ⋮ Strongly convergent net given by a fixed point theorem for firmly nonexpansive type mappings ⋮ Strong convergence theorems for nonexpansive nonself-mappings without boundary conditions ⋮ Strong convergence theorems on two iterative method for non-expansive mappings ⋮ Iterative methods for zeros of a monotone variational inclusion in Hilbert spaces ⋮ Dual convergence theorems for the infinite products of resolvents in Banach spaces ⋮ Fixed-point solutions of variational inequalities for nonexpansive semigroups in Hilbert spaces ⋮ An approximation method for continuous pseudocontractive mappings ⋮ Strong convergence to common fixed points of a finite family of nonexpansive mappings ⋮ A new projection and convergence theorems for the projections in Banach spaces ⋮ Strong convergence theorems for nonexpansive semigroup in Banach spaces ⋮ Approximating fixed points of nonexpansive mappings in a Banach space by metric projections ⋮ Solving variational inequalities involving nonexpansive type mappings ⋮ Strong convergence theorems for three-steps iterations for asymptotically nonexpansive mappings in Banach spaces ⋮ 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 ⋮ A new sufficient condition for the strong convergence of Halpern type iterations ⋮ On iterations methods for zeros of accretive operators in Banach spaces ⋮ Strong convergence theorems on an iterative method for a family of finite nonexpansive mappings in reflexive Banach spaces ⋮ A general composite explicit iterative scheme of fixed point solutions of variational inequalities for nonexpansive semigroups ⋮ Viscosity approximations methods for \((\psi,\varphi)\)-weakly contractive mappings ⋮ Viscosity approximation methods for a family of finite nonexpansive mappings in Banach spaces ⋮ Convergence of hybrid steepest descent method for variational inequalities in Banach spaces ⋮ Halpern's iteration in Banach spaces ⋮ Viscosity approximation methods for a common fixed point of finite family of nonexpansive mappings ⋮ Iterative selection methods for the common fixed point problems in a Banach space ⋮ Strong convergence of iterative sequences for nonexpansive mappings ⋮ A new iterative algorithm for common solutions of a finite family of accretive operators ⋮ Iterative algorithm for zeros of multivalued accretive operators in certain Banach spaces ⋮ New strong convergence theorems for nonexpansive nonself-mappings without boundary conditions ⋮ Convergence of iterative algorithms for multivalued mappings in Banach spaces ⋮ Viscosity approximation methods for countable families of nonexpansive mappings in Banach spaces ⋮ Strong convergence of a modified Halpern's iteration for nonexpansive mappings ⋮ Convergence to common fixed point for generalized asymptotically nonexpansive semigroup in Banach spaces ⋮ Strong convergence of modified implicit iterative algorithms with perturbed mappings for continuous pseudocontractive mappings ⋮ A common solution of generalized equilibrium problems and fixed points of pseudo-contractive-type maps ⋮ Equivalent theorems of the convergence between proximal type algorithms ⋮ Strong convergence theorems for a common zero of a countably infinite family of \(\alpha \)-inverse strongly accretive mappings ⋮ Iterative construction for common fixed points of finitely many nonexpansive mappings ⋮ Convergence theorems for strongly continuous semi-groups of asymptotically nonexpansive mappings ⋮ Convergence comparison of several iteration algorithms for the common fixed point problems ⋮ Viscosity approximations by generalized contractions for resolvents of accretive operators in Banach spaces ⋮ Strong convergence of a new iteration for a finite family of accretive operators ⋮ Strong convergence of averaged approximants for asymptotically nonexpansive mappings in Banach spaces ⋮ Approximate solutions of variational inequalities on sets of common fixed points of a one-parameter semigroup of nonexpansive mappings ⋮ Strong convergence of approximating fixed points for nonexpansive nonself-mappings in Banach spaces ⋮ Strong convergence of viscosity approximation methods with strong pseudocontraction for Lipschitz pseudocontractive mappings ⋮ The implicit midpoint procedures for asymptotically nonexpansive mappings ⋮ Approximating solutions of maximal monotone operators in Hilbert spaces ⋮ Iterative algorithms with errors for zeros of accretive operators in Banach spaces ⋮ Convergence results of multi-valued nonexpansive mappings in Banach spaces

Cites Work

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:1080161&oldid=13101359"