ON VARIOUS MULTIMAP CLASSES IN THE KKM THEORY AND THEIR APPLICATIONS

TitleON VARIOUS MULTIMAP CLASSES IN THE KKM THEORY AND THEIR APPLICATIONS
Publication TypeJournal Article
Year of Publication2017
AuthorsPARK SEHIE
JournalDynamic Systems and Applications
Volume26
Issue2
Start Page283
Pagination26
Date Published2017
ISSN1056-2176
AMS Subject Classification47H04, 47H10, 47J20, 47N10, 49J53, 52A99, 54C60, 54H25, 58E35, 90C47, 91A13, 91B50
Abstract

Fixed point theory of convex-valued multimaps are closely related to the KKM theory from the beginning. In the last twenty-five years, we introduced the acyclic multimap class, the admissible multimap class Aκc , the better admissible class B, and the KKM admissible classes KC, KO in the frame of the KKM theory. Our aim in this review is to collect the basic properties of our multimap classes and some mutual relations among them in general topological spaces or our abstract convex spaces. We add some new remarks and further comments to improve many of those results, and introduce some recent applications of our multimap classes.

PDFhttps://acadsol.eu/dsa/articles/26/2/5.pdf
DOI10.12732/dsa.v26i2.5
Refereed DesignationRefereed