FC-空间上不动点定理和supinfsup不等式  

Fixed Point Theorem and Supinfsup Inequalities in FC-Space Without Compactness

作　　者：王彬[1] 刘恒[2] 

机构地区：[1]内江师范学院数学与信息科学学院,四川内江641100 [2]内江市第二职业中学,四川内江641000

出　　处：《内江师范学院学报》2013年第10期4-7,共4页Journal of Neijiang Normal University

基　　金：四川省教育厅科研基金资助(11ZB023)

摘　　要：利用FC-空间上KKM型定理得到一个新的有限交定理.作为应用,在无紧性限制的FC-空间上得到了一个关于集值映射的不动点定理.讨论了Von Neumann-Fan型supinfsup不等式(等式)问题.A new finite intersection theorem was obtained by KKM type theorem in FC-spaces,as its application, a fixed point theorem is proved in FC-spaces and the problem of von Neumann-Fan type supinfsup inequalities（equalities） for multimap in FC-spaces without compactness were discussed as applications. These theorems generalize some known results in recent literatures.

关 键 词：FC-空间 非空交定理 FC-拟凸 KKM映射 

分 类 号：O117.91[理学—数学]