Some new fuzzy best proximity point theorems in non-archimedean fuzzy metric spaces

Abstract

In this paper, we define fuzzy weak P-property. Then we prove a fuzzy best proximity point theorems for ?-contractions with condition fuzzy weak P-property. Later, we give definition of fuzzy isometric distance between two functions in non-Archimedean fuzzy metric spaces. Also, we introduce ?-proximal contraction type-1 and type-2 contraction respectively via functions preserving fuzzy isometric distance and providing fuzzy isometry. Then, we obtain some fuzzy best proximity results for ?-proximal contractions types in non-Archimedean fuzzy metric spaces. Finally, we present some examples to illustrate the validity of the definitions and results obtained in the paper. © 2021 EUDOXUS PRESS, LLC.