BEST PROXIMITY POINT THEOREMS IN NON-ARCHIMEDEAN MENGER PROBABILISTIC SPACES
Kragujevac Journal of Mathematics, vol.48, no.3, pp.331-343, 2024 (ESCI, Scopus)
- 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
- Open Archive Collection: AVESIS Open Access Collection
- 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.