TY - JOUR ID - 24627 TI - Non-Archimedean fuzzy metric spaces and Best proximity point theorems JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Paknazar, Mohadeseh AD - Department of Mathematics, Farhangian University, Iran. Y1 - 2018 PY - 2018 VL - 09 IS - 1 SP - 85 EP - 112 KW - Fuzzy metric space KW - Best proximity point KW - Proximal contraction DO - 10.22130/scma.2018.24627 N2 - 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. UR - https://scma.maragheh.ac.ir/article_24627.html L1 - https://scma.maragheh.ac.ir/article_24627_22f14f4b196640de19b797939e8e6153.pdf ER -