FC-空间上集族不动点定理(英文)  

Collectively fixed point theorems on FC-spaces

作　　者：孙吉荣[1] 朴勇杰[2] 

机构地区：[1]北华大学师范分院,吉林132013 [2]延边大学理学院,延吉133002

出　　处：《黑龙江大学自然科学学报》2009年第2期178-181,共4页Journal of Natural Science of Heilongjiang University

基　　金：Supported by the National Natural Science Fundation of China (10361005)

摘　　要：利用单位分解定理得到从紧的Hausdorff拓扑空间到没有任何凸结构的有限连续拓扑空间(简称,FC-空间)的集值映射的连续选择定理,并从该结果和Tychonoff不动点定理,得到紧的FC-空间的乘积空间上映射族的集族不动点定理和若干个非紧的FC-空间的乘积空间上的映射族的集族不动点定理,对文献中的相应结果进行了改进和一般化.By using the partition theorem of unity, a continuous selection theorem for a muhimap from a compact Hausdorff topological space to a finitely continuous topological spaces （ simply, FC- spaces） without any convexity structure was obtained, and from which and Tychonoff fixed point theorem, a collectively fixed point theorem for a family of multimaps on the product space of compact FC-spaees and several collectively fixed point theorems for a family of multimaps on the product space of non-compact FC-spaces were given. These results generalize and improve the corresponding conclusions in the recent literature.

关 键 词：FC-空间 FC-子空间 连续选择 集族不动点 

分 类 号：O189.1[理学—数学] O177.91[理学—基础数学]