Strong convergence theorems for fixed points of asymptotically pseudocontractive semi-groups
type: Item
instance of: scholarly article
title: Strong convergence theorems for fixed points of asymptotically pseudocontractive semi-groups
zbMATH Open document ID: 1065.47064
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-08-19T00:00:00Z
review text: Let \(K\) be a (nonempty) closed bounded convex subset of a real Banach space \(E\) and \((T(t);t\geq 0)\) a strongly continuous uniformly asymptotically regular and uniformly Lipschitzian semigroup of asymptotically pseudocontractive selfmaps of \(K\). Sufficient conditions are given for the iterative sequence \((x_{n+1}:=(1-\lambda_n)x_n+\lambda_n (T(t_n))^nx_n- \lambda_n\theta_n(x_n-x_1);n\geq 1)\) to converge strongly to a fixed point of \((T(t);t\geq 0)\).
Mathematics Subject Classification ID: 47H20
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 2092934
zbMATH Keywords: asymptotically pseudocontractive semigroup
zbMATH Keywords: fixed point
zbMATH Keywords: uniform normal structure
zbMATH Keywords: Lipschitz property
zbMATH Keywords: uniformly Gâteaux differentiable norm
zbMATH Keywords: asymptotically regular map
author: C. E. Chidume
reviewed by: Mihai Turinici
MaRDI profile type: Publication
full work available at URL: j.jmaa.2003.12.045
OpenAlex ID: W2039995281
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DOI: 10.1016/J.JMAA.2003.12.045
description: scientific article; zbMATH DE number 2092934