广义度量S-KKM映射的性质及其对变分不等式的应用  

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

作　　者：文开庭[1] 

机构地区：[1]毕节学院数学系,贵州毕节551700

出　　处：《纯粹数学与应用数学》2009年第1期152-156,共5页Pure and Applied Mathematics

基　　金：毕节地区科技局资助项目(2008-06);毕节学院科研经费资助项目(20072001).

摘　　要：引入了超S-γ-广义拟凸(凹)函数,建立了广义度量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KyFan极大极小不等式和鞍点定理.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.

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 

分 类 号：O177.91[理学—数学]