Published January 1, 2024 | Version v1
Journal article Open

BEST PROXIMITY POINT THEOREMS IN NON-ARCHIMEDEAN MENGER PROBABILISTIC SPACES

  • 1. Isik Univ, Fac Arts & Sci, Dept Math, Sile, Turkiye
  • 2. Yildiz Tech Univ, Fac Chem Met, Dept Math Engn, Istanbul, Turkiye

Description

. 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.

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