Abstract convexity in KKM theorems via set-valued maps

被引：0
|
作者：
M. Fakhar
M. Lotfipour
J. Zafarani
机构：
[1] University of Isfahan,Department of Mathematics
[2] Fasa University,Department of Mathematics, Faculty of Science
[3] Sheikhbahaee University,undefined
[4] University of Isfahan,undefined
来源：
Optimization Letters | 2021年 / 15卷
关键词：
KKM Lemma; Uniform mapconvex space; -KKM map;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Different aspects of the KKM Lemma besides its vast applications in nonlinear analysis have been investigated over the years. Some researchers tried to present the KKM results such as generalized L-KKM type theorems in the absence of usual convexity. Here, first we present a counterexample to show that the main results in some generalized KKM type theorems and their consequences are not valid. Afterward, the uniform mapconvex space is introduced and a nonempty intersection result in this space is proved.
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页码：923 / 931
页数：8
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