广义度量S-KKM映射的性质及其对鞍点问题的应用

引入了S为集盥映射情况下的广义度量S-KKM映射和超S-γ-广义拟凸（凹）函数，建立了广义度量S-KKM映射原理和广义度量S-KKM映射与超S-γ-广义拟凸（凹）函数的关系．作为应用，获得了超凸度量空间中的新的Ky Fan极大极小不等式和鞍点定理．

The Generalized Metric S-KKM Mapping Principle and the Application to the Saddle Point Problems

In this paper, the generalized metric S-KKM mapping and the hyper S-γ-generalized quasi-convex (resp., concave) functional arc 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 existence theorem for saddle points are obtained in hyperconvex metric spaces.