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Journals / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 1

Fixed Point Theorems on Generalized Fuzzy Metric Spaces

P.K. SAHA
A. Deb RAY
Pages
1–9
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

Besides, the results corresponding to Banach’s and Ciric’s fixed point theorems are obtained under our postulates.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a generalized fuzzy metric space is defined and shown to be a proper generalization of a fuzzy metric space.
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Key Findings & Data:In this paper, a generalized fuzzy metric space is defined and shown to be a proper generalization of a fuzzy metric space.
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Conclusion & Impact:Besides, the results corresponding to Banach’s and Ciric’s fixed point theorems are obtained under our postulates.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fuzzy generalized metric space · Fuzzy contraction maps · Fuzzy almost contraction

Abstract

In this paper, a generalized fuzzy metric space is defined and shown to be a proper generalization of a fuzzy metric space. Besides, the results corresponding to Banach’s and Ciric’s fixed point theorems are obtained under our postulates.

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Cite This Article

SAHA, P., RAY, A. D. (2022). Fixed Point Theorems on Generalized Fuzzy Metric Spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 1, 1–9. https://ajindex.com/articles/530667

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References (5)

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  2. Hu, C.-M. Fuzzy metrics, Nature J. 5 (12), 947, 1982
  3. Lahiri, B. K. and Das, P. Fixed point of a Ljubomir Ciric quasi-contraction mapping in a generalized metric space, Publ. Math. Debrecen 61 (3-4), 589–594, 2002
  4. Palaniappan, N. Fuzzy Topology (Second Edition) (Narosa Publishing House, India)
  5. Zadeh, L. A. Fuzzy Sets, Information and Control 8, 338–353, 1965.