Fixed-point theorems in extended fuzzy metric spaces via $alpha-phi-mathcal{M}^{0}$ and $beta-psi-mathcal{M}^{0}$ fuzzy contractive mappings
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, cilt.72, sa.1, ss.71-83, 2023 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 72 Sayı: 1
- Basım Tarihi: 2023
- Doi Numarası: 10.31801/cfsuasmas.1038245
- Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.71-83
- Anahtar Kelimeler: Fixed-point, extended fuzzy metric space, fuzzy contractive mapping
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
Özet
In this article we would like to present a new type of fuzzy contractive mappings which are called $alpha-phi-mathcal{M}^{0}$ fuzzy contractive and $beta-psi-mathcal{M}^{0}$ fuzzy contractive, and then we demonstrate two theorems which ensure the existence of a fixed point for these two types of mappings. And so we combine and generalize some existing notions in the literature ([5], [7]). Proved these theorems in the extended fuzzy metric spaces are in the more general version than the existing in the literature ones.