Novel Insights into $C$-Class Functions and Fixed Point Theorems for $(\psi - \phi)$-Contractive Mappings within $G_{\mathcal{F}}$-Metric Spaces

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Authors: Dhaou Lassoued, Anouar Houmia
Cited by: 0

Abstract

This study focuses on the analysis of $C$-class functions, with particular attention given to the development of fixed-point theorems for mappings that satisfy $H$-$(\psi, \phi)$-contractive conditions. The principal aim is to extend fixed-point results to the broader framework of $G_{\mathcal{F}}$-complete metric spaces. This generalized setting provides greater flexibility of contractive mappings, covering cases not addressed by traditional fixed-point theory.

Fields of Study & Subjects

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

Publication details

Journal / source
European Journal of Pure and Applied Mathematics
Volume
19
Issue
1
Pages
7331–7331
Publication date
16 February 2026
Language
EN