Fixed point results for generalized contractions in controlled metric spaces with applications-Reference-Cited by-同舟云学术

Fixed point results for generalized contractions in controlled metric spaces with applications

Published:2023 Issue:1 Volume:8 Page:529-549
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ma Zhenhua¹,Ahmad Jamshaid²,Al-Mazrooei Abdullah Eqal³

Affiliation:

1. Department of Mathematics and Physics, Hebei University of Architecture, Zhangjiakou 075024, China

2. Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia

3. Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract

<abstract><p>The purpose of this article is to establish some common fixed point results for generalized contractions including some precise control functions of two variables in the setting of controlled metric spaces. As consequences of our leading results, we derive common fixed point and fixed point results for contractions with control functions of one variable and constants. We also discuss controlled metric spaces endowed with a graph and obtain some common fixed point results in this newly introduced space. As an application of our leading result, we examine the solution of a Fredholm type integral equation.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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