| 序拓扑空间中KKM引理的两个等价形式和一个推广 |
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| 引用本文： | 张勇,武小艳,向淑文.序拓扑空间中KKM引理的两个等价形式和一个推广[J].贵州大学学报(自然科学版),2007,24(1):18-21. |
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| 作者姓名： | 张勇 武小艳 向淑文 |
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| 作者单位： | 贵州大学,数学系,贵州,贵阳,550025 |
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| 摘 要： | 证明了序拓扑空间中KKM定理,Fan-Ky极大极小不等式和不动点定理三者的等价性同时.还利用序拓扑空间中Fan-Browder定理给出了序拓扑空间Fan-Ky截口定理的推广的一个证明。
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| 关 键 词： | 序拓扑空间 KKM引理 Fan-Ky极大极小不等式 不动点定理 |
| 文章编号： | 1000-5269（2007）01-0018-04 |
| 修稿时间： | 2006-11-21 |
Two Equivalent Forms and a Generalization of KKM Theorem on Topological Ordered Spaces |
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| ZHANG Yong,WU Xiao-yan,XIANG Shu-wen.Two Equivalent Forms and a Generalization of KKM Theorem on Topological Ordered Spaces[J].Journal of Guizhou University(Natural Science),2007,24(1):18-21. |
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| Authors: | ZHANG Yong WU Xiao-yan XIANG Shu-wen |
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| Institution: | Department of Mathematics, Guizhou Uniwersity, Guiyang, Guizhou 550025, China |
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| Abstract: | It is proved that the following theorem on topological ordered space are equivalent: KKM lemma,Fan-Ky minimax inequality and fixed point theorem,Futher more,we give a generalization of Fan-Ky section theorem on by using Fan-Browder theorem on topological ordered space. |
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| Keywords: | Topological Ordered space KKM lemma Fan-Ky minimax inequality Fixed point theorem |
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