<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, we prove some common fixed point theorems satisfying contractive type mapping in the setting of <italic>b</italic>-metric spaces. The presented theorem is an extension the results of M. Sarwar and M. U. Rahman [23] as well as a generalization of many well-known results in the literature through the context of b-metric spaces. Also, we present a few examples to illustrate the validity of the results obtained in the paper. Finally, results are applied to find the solution for an integral equation.</p>
</abstract>

In this paper, we prove some common fixed point theorems satisfying contractive type mapping in the setting of b-metric spaces. The presented theorem is an extension the results of M. Sarwar and M. U. Rahman [23] as well as a generalization of many well-known results in the literature through the context of b-metric spaces. Also, we present a few examples to illustrate the validity of the results obtained in the paper. Finally, results are applied to find the solution for an integral equation.

Some fixed point theorems of rational type contraction in <italic>b</italic>-metric spaces

Department of Mathematics, Applied Mathematics Laboratory

System Dynamics and Control Laboratory, Department of Mathematics and Informatics

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Some fixed point theorems of rational type contraction in -metric spaces

In this paper, we prove some common fixed point theorems satisfying contractive type mapping in the setting of b-metric spaces. The presented theorem is an...

Some fixed point theorems of rational type contraction in b-metric spaces

Published Online: Mar 30, 2021

Page range: 350 - 363

Received: Sep 16, 2020

Accepted: Jan 31, 2021

DOI: https://doi.org/10.2478/mjpaa-2021-0023

Keywords
-metric spaces, Fixed points, Common fixed point, Cauchy sequence, Rational contractive condition, Nonlinear integral equations

© 2021 Merdaci Seddik et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Some fixed point theorems of rational type contraction in b-metric spaces

Published Online: Mar 30, 2021

Page range: 350 - 363

Received: Sep 16, 2020

Accepted: Jan 31, 2021

DOI: https://doi.org/10.2478/mjpaa-2021-0023

Keywords-metric spaces, Fixed points, Common fixed point, Cauchy sequence, Rational contractive condition, Nonlinear integral equations

© 2021 Merdaci Seddik et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
-metric spaces, Fixed points, Common fixed point, Cauchy sequence, Rational contractive condition, Nonlinear integral equations