Abstract
Best proximity point theorem furnishes sufficient conditions for the existence and computation of an approximate solution x that is optimal in the sense that the error d(x,Tx) assumes the global minimum value d(A,B). In the present paper, we initiate some new classes of proximal contraction mappings and obtain best proximity point theorems for such fuzzy mappings in a non-Archimedean fuzzy metric space. As outcomes of these theorems, we conclude evident new best proximity and fixed point theorems in non-Archimedean fuzzy metric spaces with partial order. Furthermore, we provide an example to elaborate the usability of the established results.
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