| L-凸空间的乘积空间内广义R-KKM型定理及其应用 |
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| 引用本文： | 何蓉华,丁协平.L-凸空间的乘积空间内广义R-KKM型定理及其应用[J].四川师范大学学报(自然科学版),2004,27(1):27-30. |
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| 作者姓名： | 何蓉华 丁协平 |
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| 作者单位： | 四川师范大学,数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | 四川省教育厅重点科研基金资助项目 |
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| 摘 要： | 在L 凸空间内引入了一类广义R KKM映射,对具有有限闭(紧闭)值的广义R KKM映射簇证明了一个广义R KKM型定理.作为应用,一个聚合不动点定理和一个匹配定理被证明.这些定理推广了近期文献中的结果.
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| 关 键 词： | L-凸空间的乘积空间 有限闭(紧闭)集 广义R-KKM映射簇 |
| 文章编号： | 1001-8395(2004)01-0027-04 |
| 修稿时间： | 2002年12月31 |
Generalized R-KKM Type Theorems in the Product of L-convex Space with Applications |
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| HE Rong-hua,DING Xie-ping.Generalized R-KKM Type Theorems in the Product of L-convex Space with Applications[J].Journal of Sichuan Normal University(Natural Science),2004,27(1):27-30. |
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| Authors: | HE Rong-hua DING Xie-ping |
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| Abstract: | In this paper, a new notion of generalized R-KKM mappings is introduced. Some generalized R-KKM type theorems for a family of generalized R-KKM mappings with finitely closed (or compactly closed) values are established in the product of L-convex spaces. As applications, a collectively fixed point theorm and a matching theorm are obtained. |
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| Keywords: | The product space of L-convex spaces Finitely closed (or compactly closed) set The family of generalized R-KKM mappings |
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