APPLICATIONS OF RESULTS ON ABSTRACT CONVEX SPACES TO TOPOLOGICAL ORDERED SPACES

DOI10.4134/BKMS.2013.50.1.305zbMath1270.47044MaRDI QIDQ4906038

Hoonjoo Kim

Publication date: 21 February 2013

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://mathnet.or.kr/mathnet/kms_content.php?no=411020

zbMATH Keywords

KKM mapmaximal elementsabstract convex spacecollectively fixed pointgeneralized KKMgeneralized \(\gamma \)-quasiconvexitytopological semilattices with path-connected intervals

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

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