| 拓扑空间内广义 KKM 定理及其应用 |
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| 引用本文： | 卢宏涛,丁协平. 拓扑空间内广义 KKM 定理及其应用[J]. 四川师范大学学报(自然科学版), 1990, 0(2) |
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| 作者姓名： | 卢宏涛 丁协平 |
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| 作者单位： | 四川师范大学数学系，四川师范大学数学系 |
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| 摘 要： | 1981年,Komiya 在没有线性结构的拓扑空间内引入了凸性概念,定义了一类抽象凸空间,本文,首先在抽象凸空间内证明了广义 KKM 定理,然后应用 KKM 定理在抽象凸空间内得到了一些重叠定理、极小极大定理及其几何形式.这些定理从几个方面推广了 Fan,Lassonde,Park,Browder,Komiya,Allen,Lin,Tan,Takahashi,Yen 等人的相应结果.
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| 关 键 词： | 抽象凸空间 KKM 定理 重叠定理 极小极大等式 |
GENERALIZED KKM THEOREMS IN TOPOLOGICAL SPACE AND ITS APPLICATIONS |
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| Lu Hongtao Ding Xieping. GENERALIZED KKM THEOREMS IN TOPOLOGICAL SPACE AND ITS APPLICATIONS[J]. Journal of Sichuan Normal University(Natural Science), 1990, 0(2) |
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| Authors: | Lu Hongtao Ding Xieping |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In 1981,Komiya introduced the convexity concept on a topological space without linear structures and defined a class of abstract convex space.This paper is to prove generalized KKM theorems in an abstract convex space which extendthe corresponding results of Ky Fan and Lassonde.then by applying these theorems,to give some coincidence Theorems,minimax theorems and their geometrical forms.These results improve and generalize some corresponding results of Fan,Lassonde,Park,Browder,Komiya,Allen,Takahashi,Lin,Tan and Yen in several ways. |
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| Keywords: | Abstract convex space KKM theorem coincidence theorem minimax equality |
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