Fixed points of nonexpansive and quasi-nonexpansive mappings
type: Item
instance of: scholarly article
title: Fixed points of nonexpansive and quasi-nonexpansive mappings
zbMATH Open document ID: 1461.47039
author: Xianqiang Yang
published in: The Journal of Analysis
publication date: 2019-04-29T00:00:00Z
review text: As answers to open questions raised by \textit{V. Colao} and \textit{G. Marino} [Fixed Point Theory Appl. 2015, Paper No. 39, 7 p. (2015; Zbl 1307.47077)], the authors show strong and weak convergence of the iterated sequence by the Krasnoselskii-Mann algorithm for a countable family of (quasi-)nonexpansive non-self mappings satisfying a weakly inward condition in uniformly convex Banach spaces. It is shown that the result obtained can be applied to a nonlinear parabolic partial differential equation.
reviewed by: In-Sook Kim
Mathematics Subject Classification ID: 47J26
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 7048947
zbMATH Keywords: Krasnoselskii-Mann algorithm
zbMATH Keywords: nonexpansive mapping
zbMATH Keywords: fixed point
zbMATH Keywords: weakly inward condition
zbMATH Keywords: uniformly convex Banach space
zbMATH Keywords: strong convergence
zbMATH Keywords: weak convergence
MaRDI profile type: Publication
full work available at URL: s41478-018-0104-7
OpenAlex ID: W2807755243
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DOI: 10.1007/S41478-018-0104-7
description: scientific article; zbMATH DE number 7048947