Unique Fixed Point Results via Geraghty Type Contraction with Applications

Authors

  • Kamaleldin Abodayeh Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
  • Badshah-e- Rome Department of Mathematics, Government Degree College Kabal Swat , Khyber Pakhtunkhwa, Pakistan
  • Sidra Nizam Department of Mathematics, University of Malakand, Chakdara Dir(L), 18000, Khyber Pakhtunkhwa, Pakistan
  • Muhammad Sarwar Department of Mathematics, University of Malakand, Chakdara Dir(L), 18000, Khyber Pakhtunkhwa, Pakistan

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5994

Keywords:

Fixed point results, Geraghty type contraction, fuzzy b-metric spaces, integral equation, fractional differential equation

Abstract

In this research work, using the concept of Banach contraction principle and Geraghty type contractions, some unique fixed point results are established in the context of $\mu$-extended fuzzy b-metric spaces. The developed results are applied to ensure the existence of solution to integral equation and non-linear fractional order differential equation.

Author Biography

  • Muhammad Sarwar, Department of Mathematics, University of Malakand, Chakdara Dir(L), 18000, Khyber Pakhtunkhwa, Pakistan

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

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 Kamaleldin Abodayeh, Badshah-e- Rome, Sidra Nizam, Muhammad Sarwar

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How to Cite

Unique Fixed Point Results via Geraghty Type Contraction with Applications. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5994. https://doi.org/10.29020/nybg.ejpam.v18i2.5994