| 拓扑空间中的重合点定理及应用 |
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| 引用本文： | 雷鸣. 拓扑空间中的重合点定理及应用[J]. 西南师范大学学报(自然科学版), 2006, 31(5): 20-25 |
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| 作者姓名： | 雷鸣 |
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| 作者单位： | 重庆交通大学,信息与计算科学研究所,重庆,400074 |
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| 摘 要： | 利用广义R-KKM映射,在一般拓扑空间中证明了一个新的重合点定理.作为应用,证明了一个截口定理、一个最佳逼近定理和一个极大极小不等式.
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| 关 键 词： | 容许集值映象 转移紧开值 紧局部交性质 广义R-KKM映射 |
| 文章编号： | 1000-5471（2006）05-0020-06 |
| 收稿时间： | 2005-10-19 |
| 修稿时间： | 2005-10-19 |
Coincidence Theorems in Topological Spaces and Their Applications |
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| LEI Ming. Coincidence Theorems in Topological Spaces and Their Applications[J]. Journal of southwest china normal university(natural science edition), 2006, 31(5): 20-25 |
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| Authors: | LEI Ming |
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| Affiliation: | Institute of Information and Calculation Science, Chongqing Jiaotong University, Chongqing 400074, China |
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| Abstract: | A new coincidence theorem for admissible set-valued mappings is proved in general noncompact topological spaces by using generalized R-KKM mappings. As applications, a section theorem, a best approximation theorem and a minimax inequality are also proved. |
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| Keywords: | admissible set-valued mapping transfer compactly open-valued compactly local intersection property generalized R-KKM mapping |
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