Existence and convergence for fixed points of mappings of asymptotically nonexpansive type

From MaRDI portal

Publication:3978479

Jump to:navigation, search

DOI10.1016/0362-546X(91)90201-BzbMath0747.47041OpenAlexW2065931345MaRDI QIDQ3978479

Hong-Kun Xu

Publication date: 25 June 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(91)90201-b

zbMATH Keywords

uniformly convex Banach space fixed point theorem mappings of asymptotically nonexpansive type weak convergence of the Picard approximations

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Some random fixed point theorems for nonlinear mappings, Fixed point theorems for mappings of asymptotically nonexpansive type, Strong and weak convergence theorems for asymptotically nonexpansive mappings., The demiclosedness principle for mean nonexpansive mappings, Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings, Convergence Theorems for Mappings Which Are Asymptotically Nonexpansive in the Intermediate Sense, Fixed point property for general topologies in some Banach spaces, On the convergence of iteration processes for semigroups of nonlinear mappings in modular function spaces, On the convergence of fixed points for Lipschitz type mappings in hyperbolic spaces, On the modulus of noncompact convexity of a Banach space, Asymptotically nonexpansive mappings, Iterative approximation of fixed points for almost asymptotically nonexpansive type mappings in Banach spaces, Fixed point approximation for asymptotically nonexpansive type mappings in uniformly convex hyperbolic spaces, Fixed Point Theorems for Mean Nonexpansive Mappings in CAT(0) Spaces, Convergence theorems for asymptotically pseudocontractive mappings, Demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces, Approximation of fixed points of uniformly \(R\)-subweakly commuting mappings, Approximating a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in Banach spaces, A fixed point theorem for asymptotically nonexpansive type mappings in uniformly convex Banach spaces, An extragradient-like approximation method for variational inequalities and fixed point problems, Existence and convergence of fixed points for mappings of asymptotically nonexpansive type in uniformly convex W-hyperbolic spaces, An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings, Some geometric properties in modular spaces and application to fixed point theory, Fixed point theorems and demiclosedness principle for mappings of asymptotically nonexpansive type in Banach spaces, Convergence of algorithms for fixed points of generalized asymptotically quasi-\(\phi\)-nonexpansive mappings with applications, Fixed point iteration processes for asymptotic pointwise nonexpansive mapping in modular function spaces, Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings, Fixed point theorems for asymptotically nonexpansive mappings, Iterative algorithm and \(\Delta\)-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces, A hybrid projection method for solving a common solution of a system of equilibrium problems and fixed point problems for asymptotically strict pseudocontractions in the intermediate sense in Hilbert spaces, Convergence of three-step iterations for asymptotically nonexpansive mappings, Pointwise Lipschitzian mappings in uniformly convex and uniformly smooth Banach spaces, Approximation of common fixed points for finite families of total asymptotically nonexpansive mappings, Fixed point theorems for Lipschitzian type mappings in \(CAT(0)\) spaces, On existence of fixed points for pointwise eventually nonexpansive mappings, Hybrid viscosity CQ method for finding a common solution of a variational inequality, a general system of variational inequalities, and a fixed point problem, Fixed points of asymptotically nonexpansive type mappings, On asymptotically quasi-\(\phi\)-nonexpansive mappings in the intermediate sense, On the convergence of an implicit iterative process for generalized asymptotically quasi-nonexpansive mappings, Fixed point iteration processes for asymptotic pointwise nonexpansive mappings in Banach spaces, Convergence of implicit and explicit schemes for common fixed points for finite families of asymptotically nonexpansive mappings, Convergence analysis for Suzuki's generalized nonexpansive mappings, Strong convergence theorems for variational inequalities and fixed point problems of asymptotically strict pseudocontractive mappings in the intermediate sense, Unnamed Item, On a generalized Ky Fan inequality and asymptotically strict pseudocontractions in the intermediate sense, Approximation theorems for solving common solution of a system of mixed equilibrium problems and variational inequality problems and fixed point problems for asymptotically strict pseudocontractions in the intermediate sense, Hybrid extragradient method with regularization for convex minimization, generalized mixed equilibrium, variational inequality and fixed point problems, Strong and weak convergence criteria of composite iterative algorithms for systems of generalized equilibria, Convergent problem of iterative sequences for nonlinear mappings with error members in Banach spaces, Hybrid methods with regularization for minimization problems and asymptotically strict pseudocontractive mappings in the intermediate sense, Unnamed Item, Structure of the fixed point set and common fixed points of asymptotically nonexpansive mappings, Asymptotic pointwise contractions, Strong and \(\delta\)-convergence for mixed type total asymptotically nonexpansive mappings in CAT(0) spaces, Weak and strong convergence theorems for a finite family of non-Lipschitzian nonself mappings in Banach spaces, Iterative approximation for generalized asymptotically $k$-strict pseudocontractive type mappings, A hybrid projection algorithm for finding solutions of mixed equilibrium problem and variational inequality problem, On the convergence of implicit iterative processes for asymptotically pseudocontractive mappings in the intermediate sense, A general composite algorithm for solving general equilibrium problems and fixed point problems in Hilbert spaces, A weak convergence theorem for total asymptotically pseudocontractive mappings in Hilbert spaces, Demiclosed principle and convergence for modified three step iterative process with errors of non-Lipschitzian mappings, Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings, On convergence of iteration processes for nonexpansive semigroups in uniformly convex and uniformly smooth Banach spaces, General composite implicit iteration process for a finite family of asymptotically pseudo-contractive mappings, Approximating fixed points of total asymptotically nonexpansive mappings, On the set of common fixed points of semigroups of nonlinear mappings in modular function spaces, Demiclosed principle and \(\Delta\)-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces, Iterative sequences for asymptotically quasi-nonexpansive mappings., Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings, Iterative approximation of fixed points of (asymptotically) nonexpansive mappings, Existence of fixed points for asymptotically nonexpansive type actions of semigroups, Asymptotically nonexpansive mappings in modular function spaces, Strong convergence of an Ishikawa-type algorithm in CAT(0) spaces, Best Proximity Point Theorems for Asymptotically Relatively Nonexpansive Mappings, An algorithm for computing zeros of generalized phi-strongly monotone and bounded maps in classical Banach spaces, Iterative approaches to common fixed points of asymptotically nonexpansive mappings, Asymptotically strict pseudocontractive mappings in the intermediate sense, COMPUTATION OF ZEROS OF MONOTONE TYPE MAPPINGS: ON CHIDUME’S OPEN PROBLEM, Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings, Strong convergence of a system of generalized mixed equilibrium problem, split variational inclusion problem and fixed point problem in Banach spaces, Convergence criteria of modified Noor iterations with errors for asymptotically nonexpansive mappings, Weak and strong convergence for fixed points of asymptotically non-expansive mappings, Unnamed Item, Weak convergence theorems for asymptotically nonexpansive mappings and semigroups, Some Fixed Point Results for Commuting Families of Mappings in Modular Spaces, Unnamed Item, Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces

Cites Work

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:3978479&oldid=12007918"