Nonself KKM maps and corresponding theorems in Hadamard manifolds

被引：11

作者：

Chaipunya, Parin ^{[1
]}

Kumam, Poom ^{[1
]}

机构：

[1] King Mongkuts Univ Technol Thonburi, Fac Sci, Dept Math, 126 Pracha Uthit Rd,Bang Mod, Bangkok 10140, Thailand

来源：

APPLIED GENERAL TOPOLOGY | 2015年 / 16卷 / 01期

关键词：

KKM Maps; Hadamard manifolds; generalized equilibrium problems; best proximity points;

D O I：

10.4995/agt.2015.2305

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the KKM maps defined for a nonself map and the correlated intersection theorems in Hadamard manifolds. We also study some applications of the intersection results. Our outputs improved the results of Raj and Somasundaram [1, V. Sankar Raj and S. Somasundaram, KKM-type theorems for best proximity points, Appl. Math. Lett., 25(3):496-499, 2012.].

引用

页码：37 / 44

页数：8

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