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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 39 Issue: 1

Fixed Point Theorems on Generalized Fuzzy Metric Spaces

A. Deb Ray
P.k. Saha
Sayfa
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Yayın Tarihi
2010-01-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Besides, the results corresponding to Banach’s and Ciric’s fixed point theorems are obtained under our postulates.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

Ray, A. D., Saha, P. (2010). Fixed Point Theorems on Generalized Fuzzy Metric Spaces. Hacettepe Journal of Mathematics and Statistics, Volume: 39 Issue: 1. https://ajindex.com/articles/1403715

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Kaynakça (5)

  1. Branciari, A. A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen 57 (1-2),31–37, 2000.
  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.