Mosco convergence of the sets of fixed points for one-parameter nonexpansive semigroups
type: Item
instance of: scholarly article
title: Mosco convergence of the sets of fixed points for one-parameter nonexpansive semigroups
zbMATH Open document ID: 1154.47049
author: Tomonari Suzuki
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2008-06-10T00:00:00Z
review text: The author proves the Mosco convergence of the sets of fixed points for one-parameter nonexpansive semigroups \(T(t)\) on a closed convex set of a Banach space with the Opial property. Namely, under the assumption that \(t_n>\tau\geq 0\), \(t_n\to\tau\) as \(n\to\infty\), it is established that the sets of fixed points of \(T(t_n)\) converge in the sense of Mosco to the set of common fixed points of the semigroup \(T(t)\).
Mathematics Subject Classification ID: 47H20
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 5286009
zbMATH Keywords: nonexpansive semigroups
zbMATH Keywords: fixed points
zbMATH Keywords: Mosco convergence
reviewed by: Evgeniy Panov
MaRDI profile type: Publication
full work available at URL: j.na.2007.04.026
OpenAlex ID: W1998033757
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DOI: 10.1016/J.NA.2007.04.026
description: scientific article; zbMATH DE number 5286009