Existential examination of the coupled fixed point in generalized b-metric spaces and an application

Issue title: Mathematical Modelling in Computational and Life Sciences

Guest editors: Ahmed Farouk

Article type: Research Article

Authors: Soliman, Ahmed H.^{a; b; *} | Zidan, A. M.^{a; b; *}

Affiliations: [a] King Khalid University, College of Science, Department of Mathematics, Abha, Saudi Arabia | [b] Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut Branch, Assiut, Egypt

Correspondence: [*] Corresponding author. A.H. Soliman and A.M. Zidan; E-mails: [email protected]. (Ahmed H. Soliman) and [email protected] (A. M. Zidan)

Abstract:  In this work, we build up some coupled fixed point results in b-metric spaces and employ the same to study the stability for a coupled system of functional equations.

Keywords: Coupled fixed point, Hausdorff distance, stability of a set-valued functional equation

DOI: 10.3233/JIFS-179565

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 3, pp. 2801-2807, 2020