The retractions onto the common fixed points of some families and semigroups of mappings
type: Item
instance of: scholarly article
title: The retractions onto the common fixed points of some families and semigroups of mappings
zbMATH Open document ID: 1181.47054
author: Shahram Saeidi
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-06-24T00:00:00Z
review text: Let \(C\) be a closed convex subset of a reflexive Banach space and \(\varphi : = (T_i)_{i \in I}\) be a family of self-mappings on \(C\) such that \(F(\varphi)\), the common fixed point set of \(\varphi\), is nonempty. The author gives some conditions under which there exists a retraction of type \((\gamma)\) from \(C\) onto \(F(\varphi)\). Some applications to find ergodic retractions for nonexpansive affine mappings are also given.
reviewed by: Ioan A. Rus
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H20
zbMATH DE Number: 5569412
zbMATH Keywords: amenable semigroups
zbMATH Keywords: common fixed point
zbMATH Keywords: mapping of type \((\gamma )\)
zbMATH Keywords: nonexpansive mapping
zbMATH Keywords: retraction
zbMATH Keywords: weak limit
MaRDI profile type: Publication
full work available at URL: j.na.2008.11.049
OpenAlex ID: W1994778219
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DOI: 10.1016/J.NA.2008.11.049
description: scientific article; zbMATH DE number 5569412