On externally complete subsets and common fixed points in partially ordered sets

被引：2

作者：

Abu-Sbeih, Mohammad Z. ^{[1
]}

Khamsi, Mohamed A. ^{[1
,2
]}

机构：

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

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

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

partially ordered sets; order preserving mappings; order trees; hyperconvex metric spaces; fixed point; BANACH OPERATOR PAIRS; APPROXIMATION; MAPPINGS; THEOREMS; SPACES;

D O I：

10.1186/1687-1812-2011-97

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we introduce the concept of externally complete ordered sets. We discuss the properties of such sets and characterize them in ordered trees. We also prove some common fixed point results for order preserving mappings. In particular, we introduce for the first time the concept of Banach Operator pairs in partially ordered sets and prove a common fixed point result which generalizes the classical De Marr's common fixed point theorem. 2000 MSC: primary 06F30; 46B20; 47E10.

引用

页码：1 / 8

页数：8

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