Some remarks on the set of common fixed points of one-parameter semigroups of nonexpansive mappings in Banach spaces with the Opial property
type: Item
instance of: scholarly article
title: Some remarks on the set of common fixed points of one-parameter semigroups of nonexpansive mappings in Banach spaces with the Opial property
zbMATH Open document ID: 1068.47078
author: Tomonari Suzuki
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2004-09-23T00:00:00Z
review text: The author studies properties of the set of common fixed points for a one-parameter nonexpansive semigroup in a Banach space with the Opial property. He discusses necessary and sufficient conditions for common fixed points. He also proves some results about convergence to a common fixed point and existence of a nonexpansive retraction to the set of common fixed points. In the last section, examples are given which illustrate the obtained results.
Mathematics Subject Classification ID: 47H20
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 2102595
zbMATH Keywords: nonexpansive semigroup
zbMATH Keywords: nonexpansive retraction
zbMATH Keywords: Opial property
zbMATH Keywords: common fixed points
reviewed by: Evgeniy Panov
MaRDI profile type: Publication
full work available at URL: j.na.2004.04.010
OpenAlex ID: W1966104210
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DOI: 10.1016/J.NA.2004.04.010
description: scientific article; zbMATH DE number 2102595