Non-Archimedean fuzzy metric spaces and best proximity point theorems

In this paper, we introduce some new classes of proxi-mal contraction mappings and establish best proximity point theo- rems for such kinds of mappings in a non-Archimedean fuzzy met- ric space. As consequences of these results, we deduce certain new best proximity and xed 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 con-traction