| 一般化凸空间上的KKM型定理 |
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| 引用本文： | 朴勇杰.一般化凸空间上的KKM型定理[J].黑龙江大学自然科学学报,2005,22(1):49-52. |
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| 作者姓名： | 朴勇杰 |
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| 作者单位： | 延边大学,数学系,吉林,延吉,133002 |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina(10361005) |
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| 摘 要： | 给出一般化凸空间的概念及在该空间上KKM映射和Г-凸子集的定义,介绍古典的KKM原理,然后给出文献5]中得到的一般化凸空间上的KKM原理,并根据上述原理得到若干个KKM型定理的表达形式.结果对相应的KKM型定理进行了改进和一般化.
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| 关 键 词： | 一般化凸空间 KKM映射 KKM原理 转移闭值的 |
KKM type theorems on generalized convex spaces |
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| PIAO Yong-jie.KKM type theorems on generalized convex spaces[J].Journal of Natural Science of Heilongjiang University,2005,22(1):49-52. |
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| Authors: | PIAO Yong-jie |
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| Abstract: | The concept of generalized convex space and the definitions of KKM map and Г - convex subset on this space are given, classical KKM principle is also introduced, and then KKM principle on generalized convex spaces obtained in paper 5 ] is given, from which some versions of KKM type theorem are obtained. Our results improve and generalize the corresponding KKM type theorems. |
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| Keywords: | generalized convex space KKM map KKM principle transfer closed valued |
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