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广义度量S-KKM映射的性质及其对变分不等式的应用
引用本文:文开庭.广义度量S-KKM映射的性质及其对变分不等式的应用[J].纯粹数学与应用数学,2009,25(1):152-156.
作者姓名:文开庭
作者单位:毕节学院数学系,贵州,毕节,551700
基金项目:毕节地区科技局资助项目,毕节学院科研经费资助项目 
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.

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

The property of GMS-KKM mappings and the application to the variational inequality
WEN Kai-ting.The property of GMS-KKM mappings and the application to the variational inequality[J].Pure and Applied Mathematics,2009,25(1):152-156.
Authors:WEN Kai-ting
Institution:WEN Kai-ting( Department of Mathematics;Bijie University;Bijie;Guizhou;551700;China)
Abstract: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.
Keywords:Hyperconvex metric space  sub-admissible subset  generalized metric S-KKM mapping  hyper Sγ-generalized quasi-convex(resp    concave)  minimax inequality  saddle point
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