A coupled coincidence point result in partially ordered metric spaces for compatible mappings

被引：214
|
作者：
Choudhury, Binayak S. [1 ]
Kundu, Amaresh [2 ]
机构：
[1] Bengal Engn & Sci Univ, Dept Math, Sibpur 711103, Howrah, India
[2] Siliguri Inst Technol, Dept Math, Darjeeling 734009, India
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 08期
关键词：
Partially ordered set; Coupled coincidence point; Mixed monotone property; Compatible mapping; ORDINARY DIFFERENTIAL-EQUATIONS; FIXED-POINT; NONLINEAR CONTRACTIONS; THEOREMS; SETS;
D O I：
10.1016/j.na.2010.06.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce the notion of compatibility of mappings in a partially ordered metric space and use this notion to establish a coupled coincidence point result. Our work extends the work of Bhaskar and Lakshmikantham [T. Gnana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. TMA 65 (2006) 1379-1393]. An example is also given. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2524 / 2531
页数：8
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