Rational contractions on complex-valued extended $ b $-metric spaces and an application-Reference-Cited by-同舟云学术

Rational contractions on complex-valued extended $ b $-metric spaces and an application

Published:2023 Issue:2 Volume:8 Page:3338-3352
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ahmad Jamshaid¹,Al-Mazrooei Abdullah Eqal²,Aydi Hassen³⁴⁵,De La Sen Manuel⁶

Affiliation:

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

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

3. Institut Supérieur d'Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia

4. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

5. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

6. Department of Electricity and Electronics, Institute of Research and Development of Processes, Faculty of Science and Technology, University of the Basque Country Campus of Leioa, Leioa (Bizkaia) 48940, Spain

Abstract

<abstract><p>The aim of this article is to obtain common fixed point results on complex-valued extended $ b $-metric spaces for rational contractions involving control functions of two variables. Our theorems generalize some famous results in the literature. We supply an example to show the originality of our main result. As an application, we develop common fixed point results for rational contractions involving control functions of one variable in the class of complex-valued extended $ b $-metric spaces.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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