Fixed Point Results for (ψ, ϕ)-Contractive Mapping in GF-Metric Space

Abstract

The main goal of this work is to present GF -metric space, a new generalization of G-metric space. A comparison between the classes of G-metric spaces, GP-metric spaces, Gb-metric spaces, generalized Gb-metric spaces, and G∗ -metric spaces and the class of GF - metric spaces is also presented. We examine a few fundamental aspects of this newly defined abstract space. Proving the Banach contraction principle and the fixed point result for (ψ, ϕ)-contractive mapping in the context of GF -metric spaces is the paper’s secondary goal

Keywords

• fixed point
• complete metric space
• g-metric space
• gb-metric space
• f-metric space
• cauchy sequence