Coincidence Point Theorems on Metric Spaces <i>via</I> Simulation Functions

Roldan-Lopez-de-Hierro, Antonio-Francisco; Karapinar, Erdal; Roldan-Lopez-de-Hierro, Concepcion; Martinez-Moreno, Juan

Coincidence Point Theorems on Metric Spaces <i>via</I> Simulation Functions

Date

2015

Authors

Roldan-Lopez-de-Hierro, Antonio-Francisco

Karapinar, Erdal

Roldan-Lopez-de-Hierro, Concepcion

Martinez-Moreno, Juan

Publisher

Elsevier Science Bv

Organizational Units

Organizational Unit

Mathematics

(2000)

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Abstract

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.

Description

Roldán López de Hierro, Antonio Francisco/0000-0002-6956-4328; KARAPINAR, ERDAL/0000-0002-6798-3254; MARTINEZ-MORENO, JUAN/0000-0002-3340-2781; Roldan Lopez De Hierro, Concepcion Beatriz/0000-0001-7732-3041