Journal of Prime Research in Mathematics
Vol. 16 (2020), Issue 2, pp. 109 – 122
ISSN: 1817-3462E (Online) 1818-5495 (Print)
ISSN: 1817-3462E (Online) 1818-5495 (Print)
Existence of a solution for integral Urysohn type equations system via fixed points technique in complex valued extended \(b\)-metric spaces
Abdelkader Belhenniche
Ecole Nationale Polytechnique d’Oran Maurice Audin, B.P 1523 El M’naouer Oran 31000, Algeria.
Sfya Benahmed
Ecole Nationale Polytechnique d’Oran Maurice Audin, B.P 1523 El M’naouer Oran 31000, Algeria.
Liliana Guran\(^1\)
Department of Pharmaceutical Sciences, “Vasile Goldi¸s” Western University of Arad, L. Rebreanu, no. 86, 310048, Arad, Romania.
\(^{1}\)Corresponding Author: guran.liliana@uvvg.ro
Ecole Nationale Polytechnique d’Oran Maurice Audin, B.P 1523 El M’naouer Oran 31000, Algeria.
Sfya Benahmed
Ecole Nationale Polytechnique d’Oran Maurice Audin, B.P 1523 El M’naouer Oran 31000, Algeria.
Liliana Guran\(^1\)
Department of Pharmaceutical Sciences, “Vasile Goldi¸s” Western University of Arad, L. Rebreanu, no. 86, 310048, Arad, Romania.
\(^{1}\)Corresponding Author: guran.liliana@uvvg.ro
Copyright © 2020 Abdelkader Belhenniche, Sfya Benahmed, Liliana Guran. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Published: December, 2020
Abstract
In this article, we obtain fixed point results and we give a common fixed point theorem for ‘Ciri’c type operators on complex valued extended b-metric spaces which may satisfy very general assumptions. Our results extend and generalize the results of Kiran et al. [1], as well as some known results in the literature. Then an illustrative application to Urysohn type integral equations system is given.
Keywords:
Single-valued mappings, complex valued extended $b$-metric spaces, common fixed point, nonlinear integral equations.