Contact Us | Language: čeština English
Title: | Topological and pointwise upper Kuratowski limits of a sequence of lower quasi-continuous multifunctions | ||||||||||
Author: | Matejdes, Milan | ||||||||||
Document type: | Peer-reviewed article (English) | ||||||||||
Source document: | Filomat. 2016, vol. 30, issue 10, p. 2631-2635 | ||||||||||
ISSN: | 0354-5180 (Sherpa/RoMEO, JCR) | ||||||||||
Journal Impact
This chart shows the development of journal-level impact metrics in time
|
|||||||||||
DOI: | https://doi.org/10.2298/FIL1610631M | ||||||||||
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. | ||||||||||
Show full item record |