| 具有H-凸截口的非紧集的交定理及其应用 |
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| 引用本文： | 丁协平. 具有H-凸截口的非紧集的交定理及其应用[J]. 应用数学和力学, 1991, 12(1): 77-84 |
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| 作者姓名： | 丁协平 |
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| 作者单位： | 四川师范大学 |
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| 摘 要： | 在本文内,我们推广了Ma,Fan,Tarafdar,Lassonde和Shih-Tan等作者关于具有凸截口集的交定理到没有线性结构的H-空间和非紧设置.同时给出了我们的定理对Vou Neumann型极小极大定理的应用.
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| 关 键 词： | H-凸 H-空间 弱H-凸 连续选择定理 叠合点定理 |
| 收稿时间： | 1990-02-15 |
Intersection Theorems Concerning Noncompact Sets with H-Convex Sections and Their Applications |
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| Ding Xie-ping. Intersection Theorems Concerning Noncompact Sets with H-Convex Sections and Their Applications[J]. Applied Mathematics and Mechanics, 1991, 12(1): 77-84 |
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| Authors: | Ding Xie-ping |
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| Affiliation: | Sichuan Normal University, Chengdu |
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| Abstract: | In this paper, we prove some intersection theorems concerning noncompact sets with H-convex sections which generalize the corresponding results of Ma, Fan, Tarafdar, Lassonde and Shih-Tan to H-spaces without the linear structure and to noncompact setting. An application to von Neumann type minimax theorems is given. |
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| Keywords: | H-space H-convex weakly H-convex continuous selection theorem coincidence theorem minimal theorem |
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