BEST PROXIMITY POINT THEOREMS IN NON-ARCHIMEDEAN MENGER PROBABILISTIC SPACES

Abstract

. In this work, we prove best proximity point theorems for 7-contractions with conditions the weak P-property in non-Archimedean Menger probabilistic metric spaces. We give the notion of 7- proximal contractions of first and second type in non-Archimedean Menger probabilistic metric spaces and also we establish best proximity point theorems for these proximal contractions. Lastly, we complete our study by giving examples that support our results.