Applications of some basic theorems in the KKM theory

被引：4
|
作者：
Park, Sehie [1 ,2 ]
机构：
[1] Natl Acad Sci, Seoul 137044, South Korea
[2] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea
来源：
FIXED POINT THEORY AND APPLICATIONS | 2011年
关键词：
intersectionally closed; unionly open; abstract convex space; KKM-type theorem; fixed point; maximal element; FIXED-POINT THEOREM; VARIATIONAL-INEQUALITIES; COMPLEMENTARITY-PROBLEMS; MINIMAX INEQUALITIES; CONTINUOUS SELECTION; EQUILIBRIUM PROBLEMS; OPERATOR; EXISTENCE;
D O I：
10.1186/1687-1812-2011-98
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页数：14
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