Coincidence point theorems on metric spaces via simulation functions

被引：164

作者：

Roldan-Lopez-de-Hierro, Antonio-Francisco ^{[1
]}

Karapinar, Erdal ^{[2
,3
]}

Roldan-Lopez-de-Hierro, Concepcion ^{[4
]}

Martinez-Moreno, Juan ^{[1
]}

机构：

[1] Univ Jaen, Dept Math, Jaen 23071, Spain

[2] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

[3] King Abdulaziz Univ, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah 21413, Saudi Arabia

[4] Univ Granada, Dept Stat & Operat Res, Granada, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2015年 / 275卷

关键词：

Metric space; Coincidence point; Fixed point; Simulation function; Contractivity condition; MAPPINGS;

D O I：

10.1016/j.cam.2014.07.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Due to its possible applications, Fixed Point Theory has become one of the most useful branches of Nonlinear Analysis. In a very recent paper, Khojasteh et al. introduced the notion of simulation function in order to express different contractivity conditions in a unified way, and they obtained some fixed point results. In this paper, we slightly modify their notion of simulation function and we investigate the existence and uniqueness of coincidence points of two nonlinear operators using this kind of control functions. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：345 / 355

页数：11

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