Coupled Fixed Points for Meir-Keeler Contractions in Ordered Partial Metric Spaces-Reference-Cited by-同舟云学术

Coupled Fixed Points for Meir-Keeler Contractions in Ordered Partial Metric Spaces

Published:2012 Issue: Volume:2012 Page:1-20
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Abdeljawad Thabet¹,Aydi Hassen²,Karapınar Erdal³

Affiliation:

1. Department of Mathematics and Computer Sciences, Çankaya University, 06530 Ankara, Turkey

2. Institut Supérieur d'Informatique et des Technologies de Communication de Hammam Sousse, Université de Sousse, Route GP1, 4011 H. Sousse, Tunisia

3. Department of Mathematics, Atılım University, İncek, 06836 Ankara, Turkey

Abstract

In this paper, we prove the existence and uniqueness of a new Meir-Keeler type coupled fixed point theorem for two mappingsF:X×X→Xandg:X→Xon a partially ordered partial metric space. We present an application to illustrate our obtained results. Further, we remark that the metric case of our results proved recently in Gordji et al. (2012) have gaps. Therefore, our results revise and generalize some of those presented in Gordji et al. (2012).

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2012/327273.pdf

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