Applying an Extended β-ϕ-Geraghty Contraction for Solving Coupled Ordinary Differential Equations-Reference-Cited by-同舟云学术

Applying an Extended β-ϕ-Geraghty Contraction for Solving Coupled Ordinary Differential Equations

Published:2023-03-14 Issue:3 Volume:15 Page:723
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Hammad Hasanen¹²^ORCID,Abodayeh Kamaleldin³^ORCID,Shatanawi Wasfi³⁴⁵^ORCID

Affiliation:

1. Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah 52571, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

3. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

4. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

5. Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa 13133, Jordan

Abstract

In this paper, we introduce a new class of mappings called “generalized β-ϕ-Geraghty contraction-type mappings”. We use our new class to formulate and prove some coupled fixed points in the setting of partially ordered metric spaces. Our results generalize and unite several findings known in the literature. We also provide some examples to support and illustrate our theoretical results. Furthermore, we apply our results to discuss the existence and uniqueness of a solution to a coupled ordinary differential equation as an application of our finding.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/3/723/pdf

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