Inexact orbits of nonexpansive mappings with nonsummable errors
type: Item
instance of: scholarly article
title: Inexact orbits of nonexpansive mappings with nonsummable errors
zbMATH Open document ID: 1505.47057
author: Simeon Reich
author: Alexander J. Zaslavski
published in: Analysis and Mathematical Physics
publication date: 2020-04-09T00:00:00Z
review text: Given a complete metric space \(X\), a closed subset \(C\subset X\), and a nonexpansive map \(T: C\to X\), the authors study the convergence of the inexact iterates of \(T\) to its fixed point set. In contrast to previous joint work with \textit{D. Butnariu} [Proceedings of the 7th international conference on fixed-point theory and its applications, Guanajuato, Mexico, 2005. Yokohama: Yokohama Publishers. 11--32 (2006; Zbl 1116.47052)], the errors are not required to be summable.
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47J26
Mathematics Subject Classification ID: 54E50
Mathematics Subject Classification ID: 46B42
zbMATH DE Number: 7188959
zbMATH Keywords: complete metric space
zbMATH Keywords: fixed point
zbMATH Keywords: inexact iteration
zbMATH Keywords: nonexpansive mapping
reviewed by: Jürgen Appell
MaRDI profile type: Publication
full work available at URL: s13324-020-00363-6
OpenAlex ID: W3015245394
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DOI: 10.1007/S13324-020-00363-6
description: scientific article; zbMATH DE number 7188959