A note on the Conley attractors of lower semicontinuous multifunctions. Issue 5 (4th May 2018)

• Record Type: Journal Article
• Authors: Guzik, Grzegorz
• Is Part Of: Journal of difference equations and applications. Volume 24:Issue 5(2018)
• Page Start: 656
• Page End: 666
• Publication Date: 2018-05-04
• Subjects: Conley attractor -- ω-limit set -- lower semicontinuous multifunction -- iterated function system; Primary: 28A80 -- 54H20 -- Secondary: 26E25 -- 47H04 -- 93E03; Difference equations -- Periodicals; 515.625
• DOI: 10.1080/10236198.2017.1293048
• Languages: English
• ISSNs: 1023-6198

Abstract

Abstract : We discuss Conley-type approach to attractive sets for lower semicontinuous multifunctions. Since every iterated function system induces a Barnsley–Hutchinson multifunction which is l.s.c. in such a case it is much more natural to consider a multifunctions of that type then closed relations on compact spaces earlier considered by some authors. We use topological (Kuratowski's) limit instead of commonly used Hausdorff metric.