Porosity and fixed points of nonexpansive set-valued maps
type: Item
instance of: scholarly article
title: Porosity and fixed points of nonexpansive set-valued maps
zbMATH Open document ID: 1354.47034
author: C. Li
author: Lihui Peng
published in: Set-Valued and Variational Analysis
publication date: 2014-09-18T00:00:00Z
review text: The authors introduce the notion of admissible family in a Banach space which contains the family of compact sets, the family of compact convex sets, and the family of singletons. They study the existence of a fixed point of nonexpansive set-valued maps whose values are in some admissible family. They also study the topological structure of the fixed-point sets of these maps.
reviewed by: Satit Saejung
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 6345540
zbMATH Keywords: porosity
zbMATH Keywords: fixed point
zbMATH Keywords: nonexpansive set-valued map
zbMATH Keywords: admissible family
MaRDI profile type: Publication
full work available at URL: s11228-013-0265-0
OpenAlex ID: W2079863869
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DOI: 10.1007/S11228-013-0265-0
description: scientific article; zbMATH DE number 6345540