Some new approaches to modular and fuzzy metric and related best proximity results

By using current methods of best proximity point theory we can not establish and prove best proximity point results in modular metric spaces. For this purpose, we introduce the notion of PD−modular metric spaces and then we establish some best proximity point theorems for certain new contraction mappings. As an application of the obtained results we establish some best proximity point results in fuzzy metric spaces. Examples are furnished to...