| FC-空间上集族不动点定理(英文) |
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| 引用本文： | 孙吉荣,朴勇杰.FC-空间上集族不动点定理(英文)[J].黑龙江大学自然科学学报,2009,26(2). |
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| 作者姓名： | 孙吉荣 朴勇杰 |
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| 作者单位： | 1. 北华大学,师范分院,吉林,132013
2. 延边大学,理学院,延吉,133002 |
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| 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.
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| 关 键 词： | FC-空间 FC-子空间 连续选择 集族不动点 |
Collectively fixed point theorems on FC-spaces |
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| SUN Ji-rong,PIAO Yong-jie.Collectively fixed point theorems on FC-spaces[J].Journal of Natural Science of Heilongjiang University,2009,26(2). |
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| Authors: | SUN Ji-rong PIAO Yong-jie |
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| Institution: | 1.Teacher's College;Beihua University;Jilin 132013;China;2.Science College;Yanbian University;Yanji 133002;China |
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| Abstract: | By using the partition theorem of unity,a continuous selection theorem for a multimap 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-spaces and several collectively fixed point theorems for a family of multimaps on the product space of non-compact FC-spaces were g... |
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| Keywords: | FC-space FC-subspace continuous selection collectively fixed point |
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