Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces

Ahmet Özcan; Gökay Karabacak; Sevcan Bulut; Aykut Or

doi:10.53570/jnt.1230368

EN

Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces

Abstract

Statistical convergence has been a prominent research area in mathematics since this concept was independently introduced by Fast and Steinhaus in 1951. Afterward, the statistical convergence of double sequences in metric spaces and fuzzy metric spaces has been widely studied. The main goal of the present study is to introduce the concepts of statistical convergence and statistical Cauchy for double sequences in intuitionistic fuzzy metric spaces. Moreover, this study characterizes the statistical convergence of a double sequence by an ordinary convergent of a subsequence of the double sequence. Besides, the current study theoretically contributes to the mentioned concepts and investigates some of their basic properties. Finally, the paper handles whether the aspects should be further investigated.

Keywords

statistical convergence, statistical Cauchy sequences, double sequences, intuitionistic fuzzy metric spaces

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ahmet Özcan
0000-0003-1458-9015
Türkiye

Gökay Karabacak
0000-0001-7546-8247
Türkiye

Sevcan Bulut
0000-0002-2926-8217
Türkiye

Aykut Or ^*
0000-0001-5279-0057
Türkiye

Publication Date

June 30, 2023

Submission Date

January 6, 2023

Acceptance Date

May 3, 2023

Published in Issue

Year 2023 Number: 43

DOI

https://doi.org/10.53570/jnt.1230368

IZ

https://izlik.org/JA55HL88SF

APA

Özcan, A., Karabacak, G., Bulut, S., & Or, A. (2023). Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces. Journal of New Theory, 43, 1-10. https://doi.org/10.53570/jnt.1230368

AMA

1.Özcan A, Karabacak G, Bulut S, Or A. Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces. JNT. 2023;(43):1-10. doi:10.53570/jnt.1230368

Chicago

Özcan, Ahmet, Gökay Karabacak, Sevcan Bulut, and Aykut Or. 2023. “Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces”. Journal of New Theory, nos. 43: 1-10. https://doi.org/10.53570/jnt.1230368.

EndNote

Özcan A, Karabacak G, Bulut S, Or A (June 1, 2023) Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces. Journal of New Theory 43 1–10.

IEEE

[1]A. Özcan, G. Karabacak, S. Bulut, and A. Or, “Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces”, JNT, no. 43, pp. 1–10, June 2023, doi: 10.53570/jnt.1230368.

ISNAD

Özcan, Ahmet - Karabacak, Gökay - Bulut, Sevcan - Or, Aykut. “Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces”. Journal of New Theory. 43 (June 1, 2023): 1-10. https://doi.org/10.53570/jnt.1230368.

JAMA

1.Özcan A, Karabacak G, Bulut S, Or A. Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces. JNT. 2023;:1–10.

MLA

Özcan, Ahmet, et al. “Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces”. Journal of New Theory, no. 43, June 2023, pp. 1-10, doi:10.53570/jnt.1230368.

Vancouver

1.Ahmet Özcan, Gökay Karabacak, Sevcan Bulut, Aykut Or. Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces. JNT. 2023 Jun. 1;(43):1-10. doi:10.53570/jnt.1230368