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

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Title: Existence of a solution for integral Urysohn type equations system via fixed points technique in complex valued extended \(b\)-metric spaces

Authors: Abdelkader Belhenniche, Sfya Benahmed, Liliana Guran

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2020

Volume: 16

Issue: 2

Language: English

Keywords: fixed pointcomplex valued extended b-metric spacesUrysohn type integral equations

Categories
Metric Spaces (17) Functional Analysis (104) Mathematics (5170) Fixed Point Theory (28) Complex Analysis (54)

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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