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Topological and pointwise upper Kuratowski limits of a sequence of lower quasi-continuous multifunctions

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dc.title Topological and pointwise upper Kuratowski limits of a sequence of lower quasi-continuous multifunctions en
dc.contributor.author Matejdes, Milan
dc.relation.ispartof Filomat
dc.identifier.issn 0354-5180 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued 2016
utb.relation.volume 30
utb.relation.issue 10
dc.citation.spage 2631
dc.citation.epage 2635
dc.type article
dc.language.iso en
dc.publisher University of Nis
dc.identifier.doi 10.2298/FIL1610631M
dc.subject Developable space en
dc.subject Lower quasi-continuity en
dc.subject Selection en
dc.subject Upper kuratowski limit en
dc.description.abstract In this paper we deal with a connection between the upper Kuratowski limit of a sequence of graphs of multifunctions and the upper Kuratowski limit of a sequence of their values. Namely, we will study under which conditions for a graph cluster point (x, y) ϵ X ×ϒ of a sequence {Gr Fn: n ϵ ω} of graphs of lower quasi-continuous multifunctions, y is a vertical cluster point of the sequence {Fn(x): n ϵ ω} of values of given multifunctions. The existence of a selection being quasi-continuous on a dense open set (a dense Gδ-set) for the topological (pointwise) upper Kuratowski limit is established. © 2016, University of Nis. All rights reserved. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1006944
utb.identifier.scopus 2-s2.0-85006275601
utb.source j-scopus
dc.date.accessioned 2017-07-13T14:50:23Z
dc.date.available 2017-07-13T14:50:23Z
utb.contributor.internalauthor Matejdes, Milan
utb.fulltext.affiliation Milan Matejdes Department of Mathematics, Faculty of Applied Informatics, Tomas Bata University in Zlín, Nad Stráněmi 4511, 760 05 Zlín, Czech Republic Department of Mathematics and Descriptive Geometry, Technical University in Zvolen, T. G. Masaryka 24, 960 53 Zvolen, Slovakia Email address: matejdes@fai.utb.cz, matejdes@tuzvo.sk (Milan Matejdes)
utb.fulltext.dates Received: 14 April 2014; Accepted: 16 March 2015
utb.fulltext.sponsorship Supported by APVV-0269-11
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