BEST PROXIMITY POINT THEOREMS IN NON-ARCHIMEDEAN MENGER PROBABILISTIC SPACES


Creative Commons License

Karaaslan A. A., KARAKAYA V.

Kragujevac Journal of Mathematics, vol.48, no.3, pp.331-343, 2024 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 3
  • Publication Date: 2024
  • Doi Number: 10.46793/kgjmat2403.331k
  • Journal Name: Kragujevac Journal of Mathematics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Page Numbers: pp.331-343
  • Keywords: best proximity point, Fixed point, non-Archimedean Menger probabilistic metric space, γ-contraction
  • Yıldız Technical University Affiliated: Yes

Abstract

In this work, we prove best proximity point theorems for γ-contractions with conditions the weak P-property in non-Archimedean Menger probabilistic metric spaces. We give the notion of γ- 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.