Unique Fixed Point Results via Geraghty Type Contraction with Applications

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.

Authors

Publication Details

Journal
European Journal of Pure and Applied Mathematics
Published
2025-05-01
DOI
https://doi.org/10.29020/nybg.ejpam.v18i2.5994
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

Unique Fixed Point Results via Geraghty Type Contraction with Applications

Badshah-e- Rome, Kamaleldin Abodayeh, Muhammad Sarwar, Sidra Nizam
European Journal of Pure and Applied Mathematics
Fixed Point Theorems Analysis
article

Unique Fixed Point Results via Geraghty Type Contraction with Applications

Badshah-e- Rome, Kamaleldin Abodayeh, Muhammad Sarwar, Sidra Nizam
article en

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.

European Journal of Pure and Applied MathematicsVol. 18(2)
Openalex Percentile: Top 86%
Fixed Point Theorems Analysis
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Unique Fixed Point Results via Geraghty Type Contraction with Applications — Badshah-e- Rome, Kamaleldin Abodayeh, et al. · European Journal of Pure and Applied Mathematics (2025) | TGRS Research Map | TGRS