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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2023 / Cilt: 72 Sayı: 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
Erdal GÜNER
Sayfa
71–83
Yayın Tarihi
2023-03-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:And so we combine and generalize some existing notions in the literature ([5], [7]).
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Sonuç & Katkı:Proved these theorems in the extended fuzzy metric spaces are in the more general version than the existing in the literature ones.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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, Cilt: 72 Sayı: 1, 71–83. https://ajindex.com/articles/903576

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Kaynakça (15)

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