Fixed Point Theorems in $mathscr{G}$ - Fuzzy Convex Metric Spaces

Abstract

This work introduces a new three-step iteration process and shows that the same leads to a unique fixed point with the help of theorems under different conditions of contractive mappings over-generalized $mathscr{G}$ - fuzzy metric spaces in the convex structure. Also, we investigate the data dependence result of this iterative process in the generalized $mathscr{G}$ - fuzzy convex metric spaces.