A generalized framework for ς-neutrosophic fuzzy metric spaces and related fixed-point theorems
AIMS Mathematics, cilt.10, sa.12, ss.28347-28373, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 10 Sayı: 12
- Basım Tarihi: 2025
- Doi Numarası: 10.3934/math.20251247
- Dergi Adı: AIMS Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
- Sayfa Sayıları: ss.28347-28373
- Anahtar Kelimeler: fixed-point theorem, Hausdorff topology, multi-parameter generalization, neutrosophic fuzzy metric space, t-conorm, t-norm, ς-NFMS
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
This paper introduces ς-neutrosophic fuzzy metric spaces (ς-NFMSs), a significant generalization of neutrosophic fuzzy metric spaces (NFMSs). By extending the parameter space from a single dimension (0, ∞) to a multi-dimensional vector space (0, ∞)ς, this framework offers enhanced flexibility for modeling complex systems where uncertainty depends on multiple factors simultaneously. The study investigates the topological properties of ς-NFMSs, rigorously proving that their topology is first-countable and that the associated space is Hausdorff. Furthermore, a generalized fixed-point theorem is established within this new framework, extending previous results in NFMSs.