Generalizations of the KKM type theorems on generalized convex spaces

被引：0
|
作者：
Park, S
Kim, H
机构：
[1] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea
[2] Daebul Univ, Dept Comp Sci, Young Am 526890, South Korea
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 1998年 / 29卷 / 02期
关键词：
KKM type theorems; generalized convex spaces; closed-valued multimaps; admissible class of multimaps; G-convex space; G-convex hull; transfer compactly closed (open); compact closure;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish a new KKM theorem related to multimaps in the admissible class A(c)(kappa) defined on generalized convex spaces and extend it for transfer compactly closed-valued multimaps. Using this obtained are a whole intersection property, a coincidence theorem, an equilibrium theorem, and the Ky Fan type matching theorem for open covers as applications.
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页码：121 / 132
页数：12
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