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.

引用

页码：923 / 931

页数：8

共 50 条

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