| FC-空间内的G-FC-KKM型定理 |
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| 引用本文： | 王彤.FC-空间内的G-FC-KKM型定理[J].重庆交通大学学报(自然科学版),2007,26(5):158-160. |
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| 作者姓名： | 王彤 |
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| 摘 要： | 不具任何凸结构的有限连续拓扑空间(FC空间)是2005年提出的一个新概念.许多具有抽象凸结构的拓扑空间都是FC-空间.在FC-空间内引入了一类G-FC-KKM(S-G-FC-KKM)映象,通过使用连续单位分解定理证明了一些G-FC-KKM(S-G-FC-KKM)型定理.这些定理推广了近期文献中的一些结果.
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| 关 键 词： | G-FC-KKM定理 S-G-FC-KKM定理 FC-空间 |
G-FC-KKM Type Theorems in FC-Spaces |
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| WANG Tong.G-FC-KKM Type Theorems in FC-Spaces[J].Journal of Chongqing Jiaotong University,2007,26(5):158-160. |
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| Authors: | WANG Tong |
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| Abstract: | A new notion of finite continuous topological space(FC-space)without convexity structure was introduced in 2005.Many topological spaces with abstract convexity structure are all FC-spaces.G-FC-KKM(S-G-FC-KKM)type mappings are introduced.By using the continuous partition of unity theorem,some G-FC-KKM(S-G-FC-KKM) type theorems are proved in FC-spaces.These theorems generalize some results in recent literature. |
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| Keywords: | G-FC-KKM theorem S-G-FC-KKM theorem FC-spaces |
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