t-Best Proximity Pair in Fuzzy Normed Spaces

Abstract

This study has considered the problem of finding best proximity pair in fuzzy metric spaces and uniformly convex fuzzy Banach spaces for fuzzy cyclic contraction map. We prove the uniqueness of this point in uniformly fuzzy Banach spaces. We also give an algorithm to find a best proximity point for the map S in setting of a uniformly convex fuzzy Banach spaces.