Applications of some basic theorems in the KKM theory

被引：0
|
作者：
Sehie Park
机构：
[1] The National Academy of Sciences,Department of Mathematical Sciences
[2] Seoul National University,undefined
来源：
Fixed Point Theory and Applications | / 2011卷
关键词：
intersectionally closed; unionly open; abstract convex space; KKM-type theorem; fixed point; maximal element;
D O I：
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学科分类号：
摘要：
In this review, we introduce a new KKM-type theorem for intersectionally closed-valued KKM map on abstract convex spaces and its direct consequences such as a Fan-Browder-type fixed point theorem and maximal element theorems. For these basic theorems of the KKM theory, we review previously obtained particular consequences of them mainly due to the author and their recent applications obtained by other authors. Therefore, those applications might be improved by following our new results.
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