alpha-optimal best proximity point result involving proximal contraction mappings in fuzzy metric spaces

In this paper, we introduce alpha proximal fuzzy contraction of type-I and II in complete fuzzy metric space and obtain some fuzzy proximal and optimal coincidence point results. The obtained results further unify, extend and generalize some already existing results in literature. We also provide some examples which show the validity of obtained results and a comparison is also given which shows that contractive mappings and obtained results further generalizes already existing results in literature.