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

Authors

  • Dhaou Lassoued Université Paris Panthéon Sorbonne
  • Anouar Houmia Department of Mathematics, College of Science, King Khalid University, Abha 62529, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v19i1.7331

Keywords:

Fixed point, $C-$class function

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.

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Published

2026-02-16

Issue

Section

Mathematical Analysis

How to Cite

Novel Insights into $C$-Class Functions and Fixed Point Theorems for $(\psi - \phi)$-Contractive Mappings within $G_{\mathcal{F}}$-Metric Spaces. (2026). European Journal of Pure and Applied Mathematics, 19(1), 7331. https://doi.org/10.29020/nybg.ejpam.v19i1.7331