Coupled Fixed Points for Meir-Keeler Contractions in Ordered Partial Metric Spaces. (3rd July 2012)

• Record Type: Journal Article
• Authors: Abdeljawad, Thabet; Aydi, Hassen; Karapınar, Erdal
• Other Names: Martinez-Guerra Rafael Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2012(2012)
• Publication Date: 2012-07-03
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2012/327273
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In this paper, we prove the existence and uniqueness of a new Meir-Keeler type coupled fixed point theorem for two mappings F : X × X → X and g : X → X on 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).