Nonexpansive retracts and weak compatible pairs in metric Spaces

被引：3

作者：

Hussain, N. ^{[1
]}

Jungck, G. ^{[2
]}

Khamsi, M. A. ^{[3
,4
]}

机构：

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

[2] Bradley Univ, Dept Math, Peoria, IL 61625 USA

[3] Univ Texas El Paso, Dept Math Sci, El Paso, TX 79968 USA

[4] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

FIXED POINT THEORY AND APPLICATIONS | 2012年

关键词：

hyperconvex metric space; uniformly convex metric space; continuous retraction; nonexpansive mapping; weakly compatible pair; COMMON FIXED-POINTS; BANACH OPERATOR PAIRS; MAPS; MAPPINGS; THEOREMS;

D O I：

10.1186/1687-1812-2012-100

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we introduce a new approach to common fixed point theory for a weak compatible pair. We first introduce the concepts of R-pair and NR-pair and establish some new common fixed point theorems for a weak compatible pair in hyperconvex metric spaces and uniformly convex metric spaces. We shall also establish the well-known De Marr's theorem for a family of weak compatible pairs in a hyperconvex metric space [0,1] and show by an example that it fails to hold in general hyperconvex metric spaces. Mathematics Subject Classification (2000): Primary 06F30, 46B20, 47E10.

引用

页码：1 / 10

页数：10

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