BEST PROXIMITY POINT THEOREMS IN NON-ARCHIMEDEAN MENGER PROBABILISTIC SPACES

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Karaaslan A. A., Karakaya V.

Kragujevac Journal of Mathematics, cilt.48, sa.3, ss.331-343, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 3
  • Basım Tarihi: 2024
  • Doi Numarası: 10.46793/kgjmat2403.331k
  • Dergi Adı: Kragujevac Journal of Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.331-343
  • Anahtar Kelimeler: best proximity point, Fixed point, non-Archimedean Menger probabilistic metric space, γ-contraction
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.