The Existence of Solutions for Second-order Differential Equations under Almost Fisher-Type Multivalued F-Contractions in Metric Spaces

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.6441

Keywords:

Fixed point, metric space, almost Jaggi-type contraction, binary relation, second-order differential equation

Abstract

This paper presents novel fixed point (FP) theorems for a specific class of multivalued contractions, referred to as ”almost Fisher type multivalued F-contractions” within complete metric spaces (MSs) endowed with a Γ-transitive binary relation ℜ. These theorems establish the existence of FPs for such contractions and explore their intrinsic properties. Illustrative Examples are provided to demonstrate the applicability and effectiveness of the proposed results. An application for solving second-order differential inclusions (SODIs) is provided under these contractives.

Author Biographies

  • Mustafa Mudhesh, International Islamic University, Islamabad

     Department of Mathematics 

  • Muhammad Arshad, International Islamic University, Islamabad

     Department of Mathematics 

  • Aftab Hussain, King Abdulaziz University, Jeddah

     Department of Mathematics 

  • Hamed Alsulami, King Abdulaziz University, Jeddah

     Department of Mathematics 

Downloads

Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Functional Analysis

License

Copyright (c) 2025 Mustafa Mudhesh, Muhammad Arshad, Aftab Hussain, Hamed Alsulami

Creative Commons License

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

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

The Existence of Solutions for Second-order Differential Equations under Almost Fisher-Type Multivalued F-Contractions in Metric Spaces. (2025). European Journal of Pure and Applied Mathematics, 18(4), 6441. https://doi.org/10.29020/nybg.ejpam.v18i4.6441