Best Proximity Point Theorems for Single and Multivalued Mappings in Fuzzy Multiplicative Metric Space
Journal of Function Spaces, cilt.2021, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2021
- Basım Tarihi: 2021
- Doi Numarası: 10.1155/2021/1373945
- Dergi Adı: Journal of Function Spaces
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, MathSciNet, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
- Uşak Üniversitesi Adresli: Hayır
Özet
In this paper, we introduce fuzzy multiplicative metric space and prove some best proximity point theorems for single-valued and multivalued proximal contractions on the newly introduced space. As corollaries of our results, we prove some fixed-point theorems. Also, we present best proximity point theorems for Feng-Liu-type multivalued proximal contraction in fuzzy metric space. Moreover, we illustrate our results with some interesting examples.