定义拓扑空间的R-子集的概念,利用古典的KKM原理的开[闭]形式得到一般拓扑空间上的KKM型定理并建立连续选择定理,然后给出局部一致空间上的上[下]半连续映射的几乎不动点定理,并给出具有闭值的上半连续映射的不动点定理.这些结果推广和改进了很多相应结果.
The concept of R-subset of a topological space is introduced,KKM type theorem on general topological space is obtained by using the open[closed]version of classical KKM principle,and continuous selection theorems are established,then almost fixed point theorems for upper[lower]semicontinuous multimap are obtained and fixed point theorems for upper semicontinuous multimap with closed values are given on locally uniform spaces.These results generalize and improve many corresponding conclusions.