| 拓扑空间中的KKM型定理和重合点定理 |
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| 引用本文： | 郑莲,丁协平.拓扑空间中的KKM型定理和重合点定理[J].数学研究及应用,2008,28(2):403-412. |
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| 作者姓名： | 郑莲 丁协平 |
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| 作者单位： | 长江师范学院数学系, 重庆 涪陵 408100;四川师范大学数学与软件科学学院, 四川 成都 610066 |
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| 摘 要： | 引入了一类新的有限连续空间(简称, $FC$-空间),并在$FC$-空间中证明了一些新的涉及容许类集值映射和具有紧局部交性质的KKM型定理和重合点定理.作为应用,在$FC$-空间中得到了一些新的不动点定理.这些结果统一和推广了近期文献在抽象凸空间中的一些重要结果.
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| 关 键 词： | FC-space KKM type theorem coincidence theorem admissible set-valued map compactly local intersection property. 拓扑空间 重合点定理 Topological Spaces Theorems Coincidence improve generalize known results recent literature fixed point theorems applications type coincidence involving admissible mapping local intersection property introduced |
| 收稿时间： | 2005/12/9 0:00:00 |
| 修稿时间： | 2005年12月9日 |
KKM Type Theorems and Coincidence Theorems in Topological Spaces |
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| ZHENG Lian and DING Xie Ping.KKM Type Theorems and Coincidence Theorems in Topological Spaces[J].Journal of Mathematical Research with Applications,2008,28(2):403-412. |
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| Authors: | ZHENG Lian and DING Xie Ping |
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| Institution: | 1. Department of Mathematics,Yangtze Normal University,Chongqing 408100,China
2. Department of Mathematics,Sichuan Normal University,Sichuan 610066,China |
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| Abstract: | A class of finitely continuous topological spaces(in short,FC-spaces)is introduced.Some new KKM type theorems and coincidence theorems involving admissible set-valued mappings and the set-valued mapping with compactly local intersection property are proved in FCspaces. As applications,some new fixed point theorems are obtained in FC-spaces.These theorems improve and generalize many known results in recent literature. |
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| Keywords: | $FC$-space KKM type theorem coincidence theorem admissible set-valued map compactly local intersection property |
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