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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 72 Issue: 1

Fixed-point theorems in extended fuzzy metric spaces via $\alpha-\phi-\mathcal{M}^{0}$ and $\beta-\psi-\mathcal{M}^{0}$ fuzzy contractive mappings

Meryem Şenocak(ANKARA UNIVERSITY, FACULTY OF SCIENCE)0000-0002-2988-9419
Erdal Güner(ANKARA UNIVERSITY, FACULTY OF SCIENCE)0000-0003-4749-1321
Pages
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Publication Date
2023-03-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Proved these theorems in the extended fuzzy metric spaces are in the more general version than the existing in the literature ones.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
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Key Findings & Data:And so we combine and generalize some existing notions in the literature ([5], [7]).
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Conclusion & Impact:Proved these theorems in the extended fuzzy metric spaces are in the more general version than the existing in the literature ones.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fixed-point · extended fuzzy metric space · fuzzy contractive mapping

Abstract

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.

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Cite This Article

Şenocak, M., Güner, E. (2023). 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, Volume: 72 Issue: 1. https://doi.org/10.31801/cfsuasmas.1038245

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