Journals / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2019 / Cilt: 37 - Sayı: 4

FUZZY CONE B-METRIC SPACES

Pages
1301–1314
Publication Date
2019-12-01
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

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

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, we present the theory of fuzzy cone b-metric space as a new type of generalized metric spaces.
📊
Key Findings & Data:We give some basic properties of this new space as Hausdorffness, convergence, completeness etc.
💡
Conclusion & Impact:In addition to, we introduce fuzzy cone b-metric Banach contraction theorem using our results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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.

🔖

Cite This Article

POŞUL, H., KAPLAN, E., KÜTÜKCÜ, S. (2019). FUZZY CONE B-METRIC SPACES. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 37 - Sayı: 4, 1301–1314. https://ajindex.com/articles/419126

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (8)

  1. George, A. and Veeramani, P., On some results in fuzzy metric spaces, Fuzzy Sets and Systems, 64(3), 395-399, (1994)
  2. Huang and Zhang, Cone metric spaces and fixed point theorems for contractive mappings, Journal of Mathematical Analysis and Applications, 332, 1468-1476, (2007)
  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)
  5. Kramosil, I. and Michálek, J., Fuzzy metrics and statistical metric spaces, Kybernetika, 11(5), (336)-344, (1975)
  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).