The Equichordal Point Problem.

Rychlik, Marek

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

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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.