Fixed Points for Generalized Contractions in $b$-Gauge Spaces and Applications

Authors

  • Khadidja Nisse Laboratory of Operators Theory and PDEs: Foundations and Applications, Department of Mathematics, Faculty of Exact Sciences, University of El Oued, P.O.Box 789, El Oued 39000, Algeria
  • Haitham Qawaqneh Department of Mathematics, Faculty of Science and Information Technology,, AlZaytoonah University of Jordan, Amman 11733, Jordan
  • Gawhara Al-Musannef Faculty of Business Studies, Arab Open University, Jeddah, Saudi Arabia.
  • Habes Alsamir Finance and Banking Department, Business Administration College,, Dar Aluloom University, riyadh, Saudi Arabia
  • Said Beloul Laboratory of Operators Theory and PDE ”LABTHOP”, Department of Mathematics, Faculty of Exact Sciences, University of El Oued, P.O.Box 789, El Oued 39000, Algeria.

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5958

Keywords:

$\alpha$-$\Psi$ contraction, fixed point theorem, b-gauge spaces

Abstract

In this work, we extend and generalize, the concept of $\alpha$-$\Psi$ contraction mappings in the setting of b-gauge spaces, where a new aspect of extension has been added . Subsequently, we give some related fixed point results that generalize many existing ones in the literature on this topic. Some of their applications to nonlinear integral equations on unbounded domains, including fractional differential equations with maxima, are also presented.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Functional Analysis

License

Copyright (c) 2025 Khadidja Nisse, Haitham Qawaqneh, Gawhara Al-Musannef, Habes Alsamir, Said Beloul

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How to Cite

Fixed Points for Generalized Contractions in $b$-Gauge Spaces and Applications. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5958. https://doi.org/10.29020/nybg.ejpam.v18i2.5958