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.
出处
《数学进展》
CSCD
北大核心
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)
