| 拓扑空间上的重合点定理,广义截口定理 |
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| 引用本文： | 朴勇杰,钟立楠.拓扑空间上的重合点定理,广义截口定理[J].数学的实践与认识,2010,40(19). |
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| 作者姓名： | 朴勇杰 钟立楠 |
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| 摘 要： | 首先利用古典的KKM原理证明一般拓扑空间上的KKM型定理并给出一个全交定理,然后作为应用讨论非紧的拓扑空间上重合点定理和广义截口定理.所得结论推广和改进了许多已知结果.
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| 关 键 词： | R-KKM映射 R-子集 上半连续 重合点 广义截口定理 |
Coincidence Theorem and Generalized Section Theorems On Topological Spaces |
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| PIAO Yong-jie,ZHONG Li-nan.Coincidence Theorem and Generalized Section Theorems On Topological Spaces[J].Mathematics in Practice and Theory,2010,40(19). |
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| Authors: | PIAO Yong-jie ZHONG Li-nan |
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| Abstract: | In this paper,we use the classical KKM principle to prove KKM type theorem and the whole intersection theoerem on general topological spaces,and then discuss coincidence theorems and generalized section theorems on non-compact spaces as applications. These results generalize and improve many known conclusions. |
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| Keywords: | R-KKM map R-subset upper semicontinuous coincidence point generalized section theorem |
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