Makale detayı · 2025
A generalized framework for ς-neutrosophic fuzzy metric spaces and related fixed-point theorems
- Yıl
- 2025
- Tür
- article
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- YÖKSİS dergi adı AIMS Mathematics
- Katalog eşleşmesi (ISSN) AIMS Mathematics
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Özet
OpenAlex · İngilizce
This paper introduces $ \varsigma $-neutrosophic fuzzy metric spaces ($ \varsigma $-NFMSs), a significant generalization of neutrosophic fuzzy metric spaces (NFMSs). By extending the parameter space from a single dimension $ (0, \infty) $ to a multi-dimensional vector space $ (0, \infty)^{\varsigma} $, this framework offers enhanced flexibility for modeling complex systems where uncertainty depends on multiple factors simultaneously. The study investigates the topological properties of $ \varsigma $-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.
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