FC-空间上的鞍点定理及应用

Coincidence Theorem and Applications in FC-space

在不具有任何凸性结构和线性结构的有限连续空间(简称FC-空间)中给出了一个鞍点定理.并应用此定理,在很弱的条件下证明了一些非空交定理及截口定理,推广了近期文献中的一些相关的结果.

A coincidence theorem is gained in FC-space without any convexity and linear structure. By applying the theorem some nonempty intersection theorems and section theorems are proved under weak assumptions, these theorems generalize some known results in recent literatures.