On the structure of fixed-point sets of uniformly Lipschitzian mappings
type: Item
instance of: scholarly article
title: On the structure of fixed-point sets of uniformly Lipschitzian mappings
zbMATH Open document ID: 1158.47038
author: Ewa Sȩdłak
author: Andrzej Wiśnicki
published in: Topological Methods in Nonlinear Analysis
publication date: 2008-07-21T00:00:00Z
review text: The authors show that for \(k\) close to 1, the set of fixed points of any \(k\)-uniformly Lipschitzian mapping in a uniformly convex Banach space is a retract of a closed bounded convex domain.
reviewed by: Nazeer Shahzad
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 5302289
zbMATH Keywords: uniformly lipschitzian mapping
zbMATH Keywords: retraction
zbMATH Keywords: fixed point
zbMATH Keywords: uniformly convex space
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5302289