Some new results on cyclic relatively nonexpansive mappings in convex metric spaces

被引：3

作者：

Gabeleh, Moosa ^{[1
]}

Shahzad, Naseer ^{[2
]}

机构：

[1] Ayatollah Boroujerdi Univ, Dept Math, Boroujerd, Iran

[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

best proximity point; cyclic relatively nonexpansive mapping; convex metric space; PROXIMITY POINT THEOREMS; EXISTENCE; CONVERGENCE;

D O I：

10.1186/1029-242X-2014-350

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we prove a best proximity point theorem for generalized cyclic contractions in convex metric spaces. Then we investigate the structure of minimal sets of cyclic relatively nonexpansive mappings in the setting of convex metric spaces. In this way, we obtain an extension of the Goebel-Karlovitz lemma, which is a key lemma in fixed point theory.

引用

页码：1 / 14

页数：14

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