Existence of a solution for integral Urysohn type equations system via fixed points technique in complex valued extended bb-metric spaces

Authors

  • Liliana Guran Department of Pharmaceutical Sciences, “Vasile Goldi¸s” Western University of Arad, L. Rebreanu, no. 86, 310048, Arad, Romania.
  • 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.

Keywords:

Single-valued mappings, complex valued extended $b$-metric spaces, common fixed point, nonlinear integral equations

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.

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Published

2020-12-31

Issue

Vol. 16 No. 2 (2020): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

Existence of a solution for integral Urysohn type equations system via fixed points technique in complex valued extended bb-metric spaces. (2020). Journal of Prime Research in Mathematics, 16(2), 109 – 122. https://jprm.sms.edu.pk/index.php/jprm/article/view/164