The Generalized Metric S-KKM Mapping Principle and the Application to the Saddle Point Problems
Wen Kai-ting · Advances in Mathematics · 2008
In this paper,the generalized metric S-KKM mapping and the hyper S-γ-generalized quasi-convex(resp.,concave)functional are introduced when S is a set-valued mapping,the generalized metric S-KKM mapping principle is obtained,and 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 new cxistence theorem for saddle points are obtained in hyperconvex metric spaces.