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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 |