Generalization of Some Coupled Fixed Point Results on Partial Metric Spaces

Wasfi Shatanawi,Hemant Kumar Nashine,Nedal Tahat

doi:10.1155/2012/686801

Abstract

Using the setting of partial metric spaces, we prove some coupled fixed point results. Our results generalize several well-known comparable results of H. Aydi (2011). Also, we introduce an example to support our results.

Highlights

Introduction and PreliminariesThe notion of coupled fixed point of a mapping F : X × X → X was introduced by Gnana Bhaskar and Lakshmikantham in 1
We prove some coupled fixed point results
By Theorem 2.1, F has a unique coupled fixed point

Summary

Introduction

The notion of coupled fixed point of a mapping F : X × X → X was introduced by Gnana Bhaskar and Lakshmikantham in 1 . Y ∈ X ×X is called a coupled fixed point of a mapping F : X × X → X if Let X, p be a partial metric space.

Results

Conclusion