Displaying similar documents to “Coincidence theorems for set-valued maps with g-kkm property on generalized convex space”

The Equichordal Point Problem.

Rychlik, Marek (1996)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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Continuous selections and approximations in α-convex metric spaces

A. Kowalska (2007)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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In the paper, the notion of a generalized convexity was defined and studied from the view-point of the selection and approximation theory of set-valued maps. We study the simultaneous existence of continuous relative selections and graph-approximations of lower semicontinuous and upper semicontinuous set-valued maps with α-convex values having nonempty intersection.

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.