Coincidence point theorem for generalized weakly contractions in ordered metric spaces

被引：23
作者：
Esmaily, Jafar [1 ]
Vaezpour, S. Mansour [2 ]
Rhoades, B. E. [3 ]
机构：
[1] IAU, Dept Math, Sci & Res Branch, Tehran, Iran
[2] Amirkabir Univ Technol, Dept Math & Comp Sci, Tehran, Iran
[3] Indiana Univ, Dept Math, Bloomington, IN 47405 USA
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 04期
关键词：
Ordered metric space; Coincidence point; Common fixed point; Partially weakly increasing mappings; Compatible pair of mappings; Weakly compatible pair of mappings; Generalized weakly contraction; Altering distance function; COMMON FIXED-POINTS; ALTERING DISTANCES; SETS; MAPPINGS; MAPS;
D O I：
10.1016/j.amc.2012.07.054
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we establish two coincidence point theorems for four mappings satisfying a generalized weakly contractive condition in ordered metric space, and apply it to find new coincidence point and common fixed point results. We furnish suitable examples to demonstrate the validity of the hypotheses of our results. Also we give an existence theorem for common solution of two integral equations. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：1536 / 1548
页数：13
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