Invariant sets and Knaster-Tarski principle
type: Item
instance of: scholarly article
title: Invariant sets and Knaster-Tarski principle
zbMATH Open document ID: 1280.54027
author: Krzysztof Leśniak
published in: Central European Journal of Mathematics
publication date: 2013-02-18T00:00:00Z
review text: The paper under review surveys applications of the Knaster-Tarski fixed point principle, for partially ordered sets, in discrete-time (multivalued) dynamical systems. The notions disscussed by the author include measures of noncompactness, applications of Kuratowski's intersection theorem, the Barnsley-Hutchinson operator, minimal (sub)invariant sets and maximal (super)invariant sets.
reviewed by: Jan P. Boronski
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H08
Mathematics Subject Classification ID: 54H20
zbMATH DE Number: 6137118
zbMATH Keywords: invariant in closure set
zbMATH Keywords: Barnsley-Hutchinson operator
zbMATH Keywords: fixed point
zbMATH Keywords: monotone map
zbMATH Keywords: measure of noncompactness
zbMATH Keywords: strongly condensing multifunction
MaRDI profile type: Publication
Wikidata QID: Q108609971
full work available at URL: s11533-012-0109-4
OpenAlex ID: W2159570296
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Invariant sets and Knaster-Tarski principle (DOI)
DOI: 10.2478/S11533-012-0109-4