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

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.

Abstract: 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.