Fixed points of mappings on ordered sets
type: Item
instance of: scholarly article
title: Fixed points of mappings on ordered sets
zbMATH Open document ID: 1385.54014
DOI: 10.1134/S1995080217060105
published in: Lobachevskii Journal of Mathematics
publication date: 2018-03-02T00:00:00Z
review text: The author deals with fixed points of multi-valued mappings on ordered sets, as a continuation of recent joint work with T. N. Fomenko. Sufficient conditions are given for the existence of a least element in the common fixed point set of a concordantly (chain) isotone family of multi-valued mappings on an ordered set. The problem of finding a common fixed point of a finite family of multi-valued mappings with an iterative method is considered. In addition, it is shown that under certain conditions the fixed point property is invariant under an order-homotopy connecting a pair of isotone single-valued mappings on an ordered set.
reviewed by: In-Sook Kim
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 06A06
zbMATH DE Number: 6846091
zbMATH Keywords: fixed point
zbMATH Keywords: multi-valued mapping
zbMATH Keywords: ordered set
zbMATH Keywords: isotone mapping
zbMATH Keywords: order-homotopy
author: Dmitrii Podoprikhin
MaRDI profile type: Publication
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full work available at URL: s1995080217060105
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description: scientific article; zbMATH DE number 6846091