FC-空间上KKM定理的另一种形式及其对重合点的应用  

Another Form of KKM Theorem on FC-spaces with Its Application to Coincidence Points

作　　者：朴勇杰[1] 尹哲[1] 

机构地区：[1]延边大学理学院数学系,吉林延吉133002

出　　处：《吉林大学学报（理学版）》2008年第6期1025-1030,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10361005)

摘　　要：利用已知的FC-空间上的KKM定理,给出一个改进的KKM定理并通过引入s-诱捕定义得到KKM定理的另一种形式.利用单位分解定理得到一个FC-空间上的连续选择定理,并作为应用得到了若干个重合点存在定理.By using the well known KKM theorem on FC-spaces, an improved KKM type theorem was established and another form of KKM type theorem was given by introducing the definition of s-trappable, and then a continuous selection theorem on FC-space was obtained by the partition theorem of unity. Finally, several existence theorems of coincidence point were derived as the application of the above results.

关 键 词：FC-空间 FC-子空间 KKM映射 上半连续 s-诱捕 

分 类 号：O189.1[理学—数学] O177.91[理学—基础数学]