A Novel Generalized Contraction in G-Metric Spaces and Its Fixed Point Theorem
We introduce a new hybrid contraction condition in the setting of G-metric spaces that unifies Banach-, Kannan-, and Chatterjea-type contractions applied to an iterate Tp of a self-map T. Under a natural coefficient constraint, we prove that such a map admits a unique fixed point in a complete G-metric space. An illustrative example is provided to demonstrate the applicability of the result beyond classical contractions.
Authors
- Abdullah Assiry
- Amir Baklouti (ORCID: https://orcid.org/0000-0002-6652-5868)
- Zouaoui Bekri (ORCID: https://orcid.org/0000-0002-2430-6499)
- Nicola Fabiano (ORCID: https://orcid.org/0000-0003-1645-2071)
Institutions
- Université Oran 1 Ahmed Ben Bella (DZ)
- University of Sfax (TN)
- Umm al-Qura University (SA)
- University of Belgrade (RS)
- Centre Universitaire Nour Bachir El Bayadh (DZ)
Publication Details
- Journal
- Axioms
- Published
- 2026-01-28
- DOI
- https://doi.org/10.3390/axioms15020094
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00