The property of GMS-KKM mappings and the application to the variational inequality

Wen Kai-ting · 2009

In this paper,the hyper S-γ-generalized quasi-convex(resp.,concave) functional is introduced,the relation between the generalized metric S-KKM mapping and the hyper S-γ-generalized quasi-convex(resp.,concave) functional is established. As application,the new Ky Fan minimax inequality and the existence theorem for saddle points are obtained in hyperconvex metric spaces.

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