FC-空间上实值函数族的Fan-Kneser型极大极小不等式  

The Fan-Kneser Type Minimax Inequalities for a Family of Real Valued Mappings on FC-spaces

作　　者：朴勇杰[1] 

机构地区：[1]延边大学理学院数学系,延吉吉林133002

出　　处：《数学进展》2013年第6期873-880,共8页Advances in Mathematics（China）

基　　金：国家自然科学基金项目(No.11361064);吉林省教育厅"十二五"科学技术研究研项目(吉教科合字[2011]第434号)

摘　　要：利用古典的KKM定理建立FC-空间上的KKM型定理并给出了若干个全交定理;然后证明了FC-空间上的变分不等式定理.最后作为应用,讨论了FC-空间上的实值函数族的FanKneser型极大极小不等式问题.所得结果推广和改进了一些已有结论.The KKM type theorems on FC-spaces were established by using the classic KKM theorem and several whole intersection theorems were given, and then a variational in- equality theorem was proved. Finally, The Fan-Kneser type minimax inequality problem for a family of real valued mappings on FC-spaces was discussed as an application. The obtained results generalize and improve some well-known conclusions.

关 键 词：FC-空间 下半连续 凹性 极大极小不等式 

分 类 号：O189.1[理学—数学] O177.91[理学—基础数学]