一般拓扑空间上的KKM型定理及相交定理  

KKM type theorem and intersection theorems on general topological spaces

作　　者：朴勇杰[1] 钟立楠[1] 许晖[1] 

机构地区：[1]延边大学理学院,吉林延吉133002

出　　处：《辽宁师范大学学报（自然科学版）》2008年第4期398-400,共3页Journal of Liaoning Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(10361005)

摘　　要：首先在一般拓扑空间上引入R-KKM映射和相对R-子集的概念,然后利用古典的KKM原理在一般拓扑空间上建立KKM型定理的开[闭]形式并给出一个注记,并根据所得结果在一般拓扑空间上得出若干个相交定理.我们的结论推广和改进了文献中的相应结论.The concepts of R-KKM map and relative R-subset on general topological spaces were introduced and,by using the classical KKM principle, the open [closed] version of KKM type theorem on general topological spaces was obtained with a remark. Conseguently several intersection theorems for general topological spaces were derived. Our results generalize and improve the corresponding results in the references cited.

关 键 词：R-KKM映射 相对R-子集 相交 转移闭值映射 

分 类 号：O189.1[理学—数学] O177.91[理学—基础数学]