Work

A Novel Generalized Contraction in G-Metric Spaces and Its Fixed Point Theorem

Year: 2026

Type: article

Abstract: 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.

Source: Axioms

DOI: 10.3390/axioms15020094

Authors: Nicola Fabiano, Zouaoui Bekri, Amir Baklouti, Abdullah Assiry