摘要
引入了S为集值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.
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 existence theorem for saddle points are obtained in hyperconvex metric spaces.
出处
《数学进展》
CSCD
北大核心
2008年第4期409-416,共8页
Advances in Mathematics（China）
基金
the Scientific Research Foundation of Bijie University.
关键词
超凸度量空间
次允许集
广义度量S-KKM映射
超S-γ-广义拟凸(凹)
极大极小不等式
鞍点
hyperconvex metric space
sub-admissible subset
generalized metric S-KKM mapping
hyper S-γ-generalized quasi-convex （resp., concave）
minimax inequality
saddle point
