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Dergiler / Sigma Journal of Engineering and Natural Sciences / 2026 / Volume: 37 Issue: 4

FUZZY CONE B-METRIC SPACES

Hande Poşul(KILIS 7 ARALIK UNIVERSITY)0000-0003-3027-8460
Elif Kaplan(ONDOKUZ MAYIS UNIVERSITY)0000-0002-7620-3387
Servet Kütükcü(ONDOKUZ MAYIS UNIVERSITY)0000-0002-7620-3387
Sayfa
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Yayın Tarihi
2019-12-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In addition to, we introduce fuzzy cone b-metric Banach contraction theorem using our results.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this article, we present the theory of fuzzy cone b-metric space as a new type of generalized metric spaces.
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Temel Bulgular & Veri:We give some basic properties of this new space as Hausdorffness, convergence, completeness etc.
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Sonuç & Katkı:In addition to, we introduce fuzzy cone b-metric Banach contraction theorem using our results.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fuzzy metric · cone metric · cone b-metric

Abstract

In this article, we present the theory of fuzzy cone b-metric space as a new type of generalized metric spaces. We give some basic properties of this new space as Hausdorffness, convergence, completeness etc. In addition to, we introduce fuzzy cone b-metric Banach contraction theorem using our results.

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Bu Makaleye Atıf Yap

Poşul, H., Kaplan, E., Kütükcü, S. (2019). FUZZY CONE B-METRIC SPACES. Sigma Journal of Engineering and Natural Sciences, Volume: 37 Issue: 4. https://ajindex.com/articles/1632726

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Kaynakça (8)

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  3. Huang, L.-G. and Zhang, X., Cone metric spaces and fixed point theorems for contractive mappings, Journal of Mathematical Analysis and Applications, 332, 1468-1476, (2007).
  4. Hussain, N. and Shah, M., KKM mappings in cone b-metric spaces, Computers & Mathematics with Applications, 62(4), 1677-1684, (2011).
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  6. Öner, T., Kandemir, M.B. and Tanay, B., Fuzzy cone metric spaces, J. Nonlinear Sci. and Appl, 8, 610-616, (2015).
  7. Schweizer, B. and Sklar, A., Statistical metric spaces, Pacific J. Math., 10(1), 313-334, (1960).
  8. Zadeh, L.A., Fuzzy sets, Information and Control, 8(3), 338-353, (1965).