FC-空间中的匹配定理及其对相交问题的应用

A Matching Theorem in FC-Spaces with Application to Intersection Problems

利用KKM技巧建立了FC-空间中弱转移紧开值映射的Ky Fan匹配定理,作为应用,获得了FC-空间中的重合定理、不动点定理和相交定理。我们的结论统一、改进和推广了一些近期文献的已知结果。

In this paper, with the help of the KKM technique, a Ky Fan matching theorem for weakly transfer compactly open valued mappings is established in FC-spaces. As applications, a coin-cidence theorem, a fixed point theorem and an intersection theorem are obtained in FC-spaces. Our results unify, improve and generalize some known results in recent reference.