(α, F)-Geraghty-type generalized F-contractions on non-Archimedean fuzzy metric-unlike spaces

Abstract

In this study, we generalize fuzzy metric-like, non-Archimedean fuzzy metric-like, and all the variants of fuzzy metric spaces. We propose the idea of fuzzy metric-unlike and non-Archimedean fuzzy metric-unlike, respectively. We also propose the idea of (α,F)\left(\alpha ,F)-Geraghty-type generalized FF-contraction mappings utilizing fuzzy metric-unlike and non-Archimedean fuzzy metric-unlike spaces. We investigate the presence of unique fixed points using the recently introduced contraction mappings. In order to complement our study, we consider an application to dynamic market equilibrium.

Keywords

• fuzzy metric-unlike space
• α-admissibility
• (α, f)-geraghty-type generalized f-contraction mapping
• 47h10
• 54h25