Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 16 Sayı: 1

Some Fixed Point Theorems in Extended Fuzzy Metric Spaces

Meryem Şenocak(ANKARA UNIVERSITY, FACULTY OF SCIENCE, DEPARTMENT OF MATHEMATICS, MATHEMATICS PR.)0000-0002-2988-9419
Erdal Güner(ANKARA UNIVERSITY, FACULTY OF SCIENCE, DEPARTMENT OF MATHEMATICS, MATHEMATICS PR.)0000-0003-4749-1321
Pages
67–75
Publication Date
2023-03-31
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AI Summary & Key Takeaways

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

And so we prove some fixed point theorems [9] existing in the literature in the new spaces [6].

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, we would like to present a newly fuzzy contraction mapping and using it we would like to prove a fixed point theorem.
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Key Findings & Data:In fact, we transfer this contraction mapping, first defined in metric spaces [15], and then transferred to fuzzy metric spaces [9] with modification, to extended fuzzy metric spaces [6].
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Conclusion & Impact:And so we prove some fixed point theorems [9] existing in the literature in the new spaces [6].
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Fixed-point · Extended fuzzy metric space · Fuzzy contraction.

Abstract

In this article, we would like to present a newly fuzzy contraction mapping and using it we would like to prove a fixed point theorem. In fact, we transfer this contraction mapping, first defined in metric spaces [15], and then transferred to fuzzy metric spaces [9] with modification, to extended fuzzy metric spaces [6]. And so we prove some fixed point theorems [9] existing in the literature in the new spaces [6].

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Cite This Article

Şenocak, M., Güner, E. (2023). Some Fixed Point Theorems in Extended Fuzzy Metric Spaces. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 16 Sayı: 1, 67–75. https://doi.org/10.18185/erzifbed.1146294

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