Coupled common fixed point theorems for w*-compatible mappings in ordered cone metric spaces

被引：29

作者：

Nashine, Hemant Kumar ^{[2
]}

Kadelburg, Zoran ^{[1
]}

Radenovic, Stojan ^{[3
]}

机构：

[1] Univ Belgrade, Fac Math, Beograd 11000, Serbia

[2] Disha Inst Management & Technol, Dept Math, Raipur 492101, Chhattisgarh, India

[3] Univ Belgrade, Fac Mech Engn, Belgrade 11120, Serbia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 09期

关键词：

Cone metric space; Coupled common fixed point; Coupled coincidence point; w*-compatible maps; Mixed g-monotone property; Partially ordered set; NONLINEAR CONTRACTIONS; COINCIDENCE; SETS;

D O I：

10.1016/j.amc.2011.11.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish coupled coincidence point results for mixed g-monotone mappings under general contractive conditions in partially ordered cone metric spaces over solid cones. We also present results on existence and uniqueness of coupled common fixed points. Our results generalize, extend and unify several well known comparable results in the literature. To illustrate our results and to distinguish them from the earlier ones, we equip the paper with examples. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：5422 / 5432

页数：11

共 27 条

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