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

Axioms 2026 Open access

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Authors: Nicola Fabiano, Zouaoui Bekri, Amir Baklouti, Abdullah Assiry
DOI: 10.3390/axioms15020094
Cited by: 0
References: 2

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.

Fields of Study & Subjects

Fixed Point Theorems Analysis Functional Equations Stability Results Approximation Theory and Sequence Spaces

Publication details

Journal / source
Axioms
Volume
15
Issue
2
Pages
94–94
Publication date
28 January 2026
Language
EN