Research Article

FUZZY CONE B-METRIC SPACES

Volume: 37 Number: 4 December 1, 2019
  • Hande Poşul
  • Elif Kaplan
  • Servet Kütükcü

FUZZY CONE B-METRIC SPACES

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.

Keywords

References

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  2. [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. [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. [4] Hussain, N. and Shah, M., KKM mappings in cone b-metric spaces, Computers & Mathematics with Applications, 62(4), 1677-1684, (2011).
  5. [5] Kramosil, I. and Michálek, J., Fuzzy metrics and statistical metric spaces, Kybernetika, 11(5), (336)-344, (1975).
  6. [6] Öner, T., Kandemir, M.B. and Tanay, B., Fuzzy cone metric spaces, J. Nonlinear Sci. and Appl, 8, 610-616, (2015).
  7. [7] Schweizer, B. and Sklar, A., Statistical metric spaces, Pacific J. Math., 10(1), 313-334, (1960).
  8. [8] Zadeh, L.A., Fuzzy sets, Information and Control, 8(3), 338-353, (1965).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Servet Kütükcü This is me
0000-0002-7620-3387
Türkiye

Publication Date

December 1, 2019

Submission Date

February 27, 2019

Acceptance Date

September 25, 2019

Published in Issue

Year 2019 Volume: 37 Number: 4

APA
Poşul, H., Kaplan, E., & Kütükcü, S. (2019). FUZZY CONE B-METRIC SPACES. Sigma Journal of Engineering and Natural Sciences, 37(4), 1301-1314. https://izlik.org/JA55DH25BZ
AMA
1.Poşul H, Kaplan E, Kütükcü S. FUZZY CONE B-METRIC SPACES. SIGMA. 2019;37(4):1301-1314. https://izlik.org/JA55DH25BZ
Chicago
Poşul, Hande, Elif Kaplan, and Servet Kütükcü. 2019. “FUZZY CONE B-METRIC SPACES”. Sigma Journal of Engineering and Natural Sciences 37 (4): 1301-14. https://izlik.org/JA55DH25BZ.
EndNote
Poşul H, Kaplan E, Kütükcü S (December 1, 2019) FUZZY CONE B-METRIC SPACES. Sigma Journal of Engineering and Natural Sciences 37 4 1301–1314.
IEEE
[1]H. Poşul, E. Kaplan, and S. Kütükcü, “FUZZY CONE B-METRIC SPACES”, SIGMA, vol. 37, no. 4, pp. 1301–1314, Dec. 2019, [Online]. Available: https://izlik.org/JA55DH25BZ
ISNAD
Poşul, Hande - Kaplan, Elif - Kütükcü, Servet. “FUZZY CONE B-METRIC SPACES”. Sigma Journal of Engineering and Natural Sciences 37/4 (December 1, 2019): 1301-1314. https://izlik.org/JA55DH25BZ.
JAMA
1.Poşul H, Kaplan E, Kütükcü S. FUZZY CONE B-METRIC SPACES. SIGMA. 2019;37:1301–1314.
MLA
Poşul, Hande, et al. “FUZZY CONE B-METRIC SPACES”. Sigma Journal of Engineering and Natural Sciences, vol. 37, no. 4, Dec. 2019, pp. 1301-14, https://izlik.org/JA55DH25BZ.
Vancouver
1.Hande Poşul, Elif Kaplan, Servet Kütükcü. FUZZY CONE B-METRIC SPACES. SIGMA [Internet]. 2019 Dec. 1;37(4):1301-14. Available from: https://izlik.org/JA55DH25BZ

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