具有H-凸截口的非紧集的交定理及其应用

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Intersection Theorems Concerning Noncompact Sets with H-Convex Sections and Their Applications

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.
- H-凸 /
- H-空间 /
- 弱H-凸 /
- 连续选择定理 /
- 叠合点定理
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 Shin-Tan to H-spaces without the linear structure and to noncompact setting. An application to von Neumann type minimax theorems is given.
- H-space /
- H-convex /
- weakly H-convex /
- continuous selection theorem /
- coincidence theorem

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