Abstract and Applied Analysis
 Abstr. Appl. Anal.
 Volume 2014, Special Issue (2013), Article ID 568718, 18 pages.
Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations
Marwan Amin Kutbi, Nawab Hussain, Jamal Rezaei Roshan, and Vahid Parvaneh
Fulltext: Open access
Abstract
The aim of this paper is to define weak $\alpha $$\psi $$\phi $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$$\alpha $admissibility. As an application, we derive new coupled and tripled coincidence point results for weak $\psi $$\phi $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.
Article information
Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 568718, 18 pages.
Dates
First available in Project Euclid: 6 October 2014
Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412607380
Digital Object Identifier
doi:10.1155/2014/568718
Mathematical Reviews number (MathSciNet)
MR3214438
Zentralblatt MATH identifier
07022625
Citation
Kutbi, Marwan Amin; Hussain, Nawab; Rezaei Roshan, Jamal; Parvaneh, Vahid. Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 568718, 18 pages. doi:10.1155/2014/568718. https://projecteuclid.org/euclid.aaa/1412607380
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