Non-Archimedean fuzzy metric spaces and Best proximity point theorems

Abstract

In this paper, we introduce some new classes of proximal contraction mappings and establish best proximity point theorems for such kinds of mappings in a non-Archimedean fuzzy metric space. As consequences of these results, we deduce certain new best proximity and fixed point theorems in partially ordered non-Archimedean fuzzy metric spaces. Moreover, we present an example to illustrate the usability of the obtained results.

Keywords

• Fuzzy metric space
• Best proximity point
• Proximal contraction