A generalized framework for ς-neutrosophic fuzzy metric spaces and related fixed-point theorems
AIMS Mathematics, vol.10, no.12, pp.28347-28373, 2025 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 10 Issue: 12
- Publication Date: 2025
- Doi Number: 10.3934/math.20251247
- Journal Name: AIMS Mathematics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
- Page Numbers: pp.28347-28373
- Keywords: fixed-point theorem, Hausdorff topology, multi-parameter generalization, neutrosophic fuzzy metric space, t-conorm, t-norm, ς-NFMS
- Süleyman Demirel University Affiliated: Yes
Abstract
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.