GENERALIZED KKM-TYPE THEOREMS FOR BEST PROXIMITY POINTS

被引：0

作者：

Kim, Hoonjo ^{[1
]}

机构：

[1] Sehan Univ, Dept Math Educ, Youngam 58447, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2016年 / 53卷 / 05期

关键词：

best proximity point; best proximity pair; generalized KKM; R-KKM; unionly open; quasi-lower semicontinuous; hyperconvex; admissible; HYPERCONVEX; EQUILIBRIUM; EXISTENCE;

D O I：

10.4134/BKMS.b150640

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with best proximity points for multimaps in normed spaces and in hyperconvex metric spaces. Using the generalized KKM theorem, we deduce new best proximity pair theorems for a family of multimaps with unionly open fibers in normed spaces. And we prove a new best proximity point theorem for quasi-lower semicontinuous multimaps in hyperconvex metric spaces.

引用

页码：1363 / 1371

页数：9

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