关于拓扑空间上的几乎不动点定理和不动点定理  

On almost fixed point theorems and fixed point theorems on topological spaces

作　　者：朴勇杰[1] 

机构地区：[1]延边大学理学院数学系,吉林延吉133002

出　　处：《云南大学学报（自然科学版）》2010年第5期497-502,共6页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金项目资助(10361005)

摘　　要：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.

关 键 词：上[下]半连续 W-R-KKM映射 局部一致空间 几乎不动点性质 R-子集 C-R-子集 几乎R-子集 

分 类 号：O189.1[理学—数学] O177.91[理学—基础数学]