Coincidence and fixed point theorems for functions in -KKM class on generalized convex spaces.
Kuo, Tian-Yuan, Huang, Young-Ye, Jeng, Jyh-Chung, Shih, Chen-Yuh (2006)
Fixed Point Theory and Applications [electronic only]
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Kuo, Tian-Yuan, Huang, Young-Ye, Jeng, Jyh-Chung, Shih, Chen-Yuh (2006)
Fixed Point Theory and Applications [electronic only]
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Mircea Balaj (2001)
Commentationes Mathematicae Universitatis Carolinae
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We obtain generalizations of the Fan's matching theorem for an open (or closed) covering related to an admissible map. Each of these is restated as a KKM theorem. Finally, applications concerning coincidence theorems and section results are given.
Salvatore Sessa (1988)
Commentationes Mathematicae Universitatis Carolinae
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Włodarczyk, Kazimierz, Klim, Dorota (2003)
Abstract and Applied Analysis
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Sehie Park (1995)
Commentationes Mathematicae Universitatis Carolinae
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Generalized and unified versions of coincidence or maximal element theorems of Fan, Yannelis and Prabhakar, Ha, Sessa, Tarafdar, Rim and Kim, Mehta and Sessa, Kim and Tan are obtained. Our arguments are based on our recent works on a broad class of multifunctions containing composites of acyclic maps defined on convex subsets of Hausdorff topological vector spaces.