Fixed Points for Generalized Contractions in $b$-Gauge Spaces and Applications
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.
Authors
- Haitham Qawaqneh
- Said Beloul (ORCID: https://orcid.org/0000-0002-2814-2161)
- Khadidja Nisse (ORCID: https://orcid.org/0000-0002-0230-9437)
- Habes Alsamir (ORCID: https://orcid.org/0000-0003-0572-3059)
- Gawhara Al-Musannef
Institutions
- Al-Zaytoonah University of Jordan (JO)
- Arab Open University (SA)
- Dar Al Uloom University (SA)
- Centre Hospitalo-Universitaire Bab El Oued (DZ)
Publication Details
- Journal
- European Journal of Pure and Applied Mathematics
- Published
- 2025-05-01
- DOI
- https://doi.org/10.29020/nybg.ejpam.v18i2.5958
- Citations
- 1
- Primary Topic
- Advanced Differential Geometry Research
- Type
- article
- Field-Weighted Citation Impact
- 1.15
Funders
- University of Jordan
- Al-Zaytoonah University of Jordan