Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations. (18th May 2014)

• Record Type: Journal Article
• Authors: Kutbi, Marwan Amin; Hussain, Nawab; Rezaei Roshan, Jamal; Parvaneh, Vahid
• Other Names: Ćirić Ljubomir B. Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-05-18
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/568718
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : The aim of this paper is to define weak α -ψ -φ -contractive mappings and to establish coupled and tripled coincidence point theorems for such mappings defined on G b -metric spaces using the concept of rectangular G -α -admissibility. As an application, we derive new coupled and tripled coincidence point results for weak ψ -φ -contractive mappings in partially ordered G b -metric spaces. Our results are generalizations and extensions of some recent results in the literature. We also present an example as well as an application to nonlinear Fredholm integral equations in order to illustrate the effectiveness of our results.