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.

Keywords

• Convergence
• Convex Structure
• G -fuzzy metric spaces

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