Applications and theorem on common fixed point in complex valued b-metric space

In this paper, a common fixed point theorem for four self-mappings satisfying rational contraction has been proved in complex valued b-metric space. Then, examples are provided to verify the effectiveness and usability of our main results. Finally, we validate our results by proving both the existen...

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Bibliographic Details
Main Authors: Khaled Berrah, Abdelkrim Aliouche, Taki eddine Oussaeif
Format: Article
Language:English
Published: AIMS Press 2019-07-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2019.3.1019/fulltext.html
Description
Summary:In this paper, a common fixed point theorem for four self-mappings satisfying rational contraction has been proved in complex valued b-metric space. Then, examples are provided to verify the effectiveness and usability of our main results. Finally, we validate our results by proving both the existence and the uniqueness of a common solution of the system of Urysohn integral equations and the existence of a unique solution for linear equations system.
ISSN:2473-6988