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Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2020 / Cilt: 10 Sayı: 4

Some Fixed Point Theorems in Partial Fuzzy Metric Spaces

Başak Aldemir(Kocaeli University, Faculty of Arts and Science)0000-0002-9073-9364
Elif Güner(Kocaeli University, Faculty of Arts and Science)0000-0002-6969-400X
Ebru Aydoğdu(Kocaeli University, Faculty of Arts and Science)0000-0002-2777-8651
Halis Aygün(Kocaeli University, Faculty of Arts and Science)0000-0003-3263-3884
Pages
2889–2900
Publication Date
2020-12-15
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AI Summary & Key Takeaways

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

Finally, we give some examples to illustrate the validity of the obtained results and the necessity of added conditions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this study is basically to give some fundamental fixed point theorems in partial fuzzy metric spaces.
📊
Key Findings & Data:Firstly, we investigate the relationships of partial metric space and fuzzy metric space with partial fuzzy metric spaces.
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Conclusion & Impact:Finally, we give some examples to illustrate the validity of the obtained results and the necessity of added conditions.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Partial metric · partial fuzzy metric · completeness

Abstract

The aim of this study is basically to give some fundamental fixed point theorems in partial fuzzy metric spaces. Firstly, we investigate the relationships of partial metric space and fuzzy metric space with partial fuzzy metric spaces. Then we define some contractive/contraction mappings similar to the Banach contraction mappings in the classical sense. Also, we show that these mappings have a unique fixed point under some conditions. Finally, we give some examples to illustrate the validity of the obtained results and the necessity of added conditions.

Özet

The aim of this study is basically to give some fundamental fixed point theorems in partial fuzzy metric spaces. Firstly, we investigate the relationships of partial metric space and fuzzy metric space with partial fuzzy metric spaces. Then we define some contractive/contraction mappings similar to the Banach contraction mappings in the classical sense. Also, we show that these mappings have a unique fixed point under some conditions. Finally, we give some examples to illustrate the validity of the obtained results and the necessity of added conditions.

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Cite This Article

Aldemir, B., Güner, E., Aydoğdu, E., Aygün, H. (2020). Some Fixed Point Theorems in Partial Fuzzy Metric Spaces. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 10 Sayı: 4, 2889–2900. https://doi.org/10.21597/jist.716207

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