Displaying similar documents to “Fixed points of condensing multivalued maps in topological vector spaces.”

Admissible maps, intersection results, coincidence theorems

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.

Coincidence theorems for set-valued maps with g-kkm property on generalized convex space

Lai-Jiu Lin, Ching-Jung Ko, Sehie Park (1998)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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In this paper, a set-valued mapping with G-KKM property is defined and a generalization of minimax theorem for set-valued maps with G-KKM property on generalized convex space is established. As a consequence of this results we verify the coincidence theorem for set-valued maps with G-KKM property on G-convex space. Finally, we apply our results to the best approximation problem and fixed point problem.

Coincidence points and maximal elements of multifunctions on convex spaces

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.