Weak KKM theorems in generalized finitely continuous space with applications  

作　　者：方勉 王磊 

机构地区：[1]Department of Economic Mathematics, South Western University of Finance and Economics

出　　处：《Applied Mathematics and Mechanics(English Edition)》2013年第10期1291-1296,共6页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.11126346)

摘　　要：Some new weak Knaster-Kuratouski-Mazurkiewicz （KKM） theorems are proved under the noncompact situation in the generalized finitely continuous space （GFC-space） without any convexity. As applications, the minimax inequalities of the Ky Fan type are also given under some suitable conditions. The results unify and generalize some known results in recent literatures.Some new weak Knaster-Kuratouski-Mazurkiewicz （KKM） theorems are proved under the noncompact situation in the generalized finitely continuous space （GFC-space） without any convexity. As applications, the minimax inequalities of the Ky Fan type are also given under some suitable conditions. The results unify and generalize some known results in recent literatures.

关 键 词：weak Knaster-Kuratouski-Mazurkiewicz （KKM） mapping generalized finitely continuous space （GFC-space） minimax inequality GFC-quasicovex 

分 类 号：O177[理学—数学]