Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric Spaces. (16th August 2014)

• Record Type: Journal Article
• Authors: Hussain, N.; Parvaneh, V.; Hoseini Ghoncheh, S. J.
• Other Names: Karapinar Erdal Academic Editor.
• Is Part Of: TheScientificWorldjournal. Volume 2014(2014)
• Publication Date: 2014-08-16
• Subjects: Science -- Periodicals; Technology -- Periodicals; Medicine -- Periodicals; 505
• DOI: 10.1155/2014/941086
• Languages: English
• ISSNs: 2356-6140

Abstract

Abstract : The aim of this paper is to present some coincidence and common fixed point results for generalized (ψ, φ )-contractive mappings using partially weakly G -α -admissibility in the setup of G -metric space. As an application of our results, periodic points of weakly contractive mappings are obtained. We also derive certain new coincidence point and common fixed point theorems in partially ordered G -metric spaces. Moreover, some examples are provided here to illustrate the usability of the obtained results.