Mann iteration of Cesàro means for asymptotically non-expansive mappings
type: Item
instance of: scholarly article
title: Mann iteration of Cesàro means for asymptotically non-expansive mappings
zbMATH Open document ID: 1225.47111
author: Yisheng Song
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-01-12T00:00:00Z
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H06
Mathematics Subject Classification ID: 47J05
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 5656699
zbMATH Keywords: asymptotically nonexpansive mapping
zbMATH Keywords: Cesàro means
zbMATH Keywords: Mann iteration
zbMATH Keywords: uniformly convex
zbMATH Keywords: strong convergence
MaRDI profile type: Publication
full work available at URL: j.na.2009.06.045
OpenAlex ID: W2092957091
cites work: A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
cites work: Nonlinear ergodic theorems for nonexpansive mappings in Hilbert spaces
cites work: Mann and Ishikawa iterations with errors for asymptotically nonexpansive mappings
cites work: Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
cites work: Strong convergence of averaged approximants for Lipschitz pseudocontractive maps
cites work: Asymptotically nonexpansive mappings
cites work: Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings
cites work: Fixed point iterations for certain nonlinear mappings
cites work: Strong convergence of averaged iteration for asymptotically non-expansive mappings
cites work: Strong convergence of averaged approximants for asymptotically nonexpansive mappings in Banach spaces
cites work: A strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces
cites work: Strong convergence theorem for asymptotically nonexpansive mappings
cites work: Iterative construction of fixed points of asymptotically nonexpansive mappings
cites work: Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
cites work: Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings
cites work: Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces
cites work: Mean Value Methods in Iteration
cites work: Q4064547
cites work: A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
cites work: On the convex approximation property and the asymptotic behavior of nonlinear contractions in Banach spaces
cites work: Iterative Algorithms for Nonlinear Operators
cites work: Strong convergence of averaging iterations of nonexpansive nonself-mappings
cites work: Viscosity approximative methods to Cesàro means for non-expansive mappings
cites work: Inequalities in Banach spaces with applications
cites work: Nonlinear functional analysis. Fixed point theory and its applications
DOI: 10.1016/J.NA.2009.06.045
description: scientific article; zbMATH DE number 5656699