Non-expansive mappings and iterative methods in uniformly convex Banach spaces
type: Item
instance of: scholarly article
title: Non-expansive mappings and iterative methods in uniformly convex Banach spaces
zbMATH Open document ID: 1083.47060
publication date: 2005-06-07T00:00:00Z
review text: The author investigates the properties of iterative sequences for non-expansive mappings and presents several strong and weak convergence results of successive approximations to fixed points of non-expansive mappings in uniformly convex Banach spaces. The results presented in this article generalize and improve various ones concerned with constructive techniques for the fixed points of non-expansive mappings.
reviewed by: Ulrich Kosel
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 2174196
zbMATH Keywords: nonexpansive mapping
zbMATH Keywords: Mann and Ishikawa iteration schemes
zbMATH Keywords: uniformly convex Banach spaces
author: Haiyun Zhou
MaRDI profile type: Publication
full work available at URL: s10114-004-0347-x
OpenAlex ID: W2129187603
cites work: Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
cites work: A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
cites work: Weak convergence theorems for nonexpansive mappings in Banach spaces
cites work: The solution by iteration of nonlinear functional equations in Banach spaces
cites work: Convergence of the Ishikawa iteration process for nonexpansive mappings
cites work: Weak convergence of the sequence of successive approximations for nonexpansive mappings
cites work: Approximating Fixed Points of Nonexpansive Mappings
cites work: A necessary and sufficient condition for convergence of steepest descent approximation to accretive operator equations
cites work: Approximating the zeros of accretive operators by the Ishikawa iteration process
cites work: Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
cites work: Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
DOI: 10.1007/S10114-004-0347-X
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 2174196