Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces

Karabacak, Gökay; Bulut, Sevcan; OR, Aykut; ÖZCAN, Ahmet

doi:10.53570/jnt.1230368

Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces

Ahmet ÖZCAN, (Department of Mathematics, Faculty of Science, Çanakkale Onsekiz Mart University, Çanakkale, Türkiye)

Gökay KARABACAK, (Department of Mathematics, Faculty of Arts and Sciences, Kırklareli University, Kırklareli, Türkiye)

Sevcan BULUT, (Department of Computer Engineering, Faculty of Engineering and Natural Sciences, İstanbul Rumeli University, İstanbul, Türkiye)

Aykut OR (Department of Mathematics, Faculty of Science, Çanakkale Onsekiz Mart University, Çanakkale, Türkiye)

Journal of New Theory

2 0

Yıl: 2023 Cilt: Sayı: 43 Sayfa Aralığı: 1 - 10 Metin Dili: İngilizce DOI: 10.53570/jnt.1230368 İndeks Tarihi: 18-07-2023

Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces

Öz:

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.

Anahtar Kelime: statistical convergence statistical Cauchy sequences double sequences intuitionistic fuzzy metric spaces

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	ÖZCAN A, Karabacak G, Bulut S, OR A (2023). Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces. , 1 - 10. 10.53570/jnt.1230368
Chicago	ÖZCAN Ahmet,Karabacak Gökay,Bulut Sevcan,OR Aykut Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces. (2023): 1 - 10. 10.53570/jnt.1230368
MLA	ÖZCAN Ahmet,Karabacak Gökay,Bulut Sevcan,OR Aykut Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces. , 2023, ss.1 - 10. 10.53570/jnt.1230368
AMA	ÖZCAN A,Karabacak G,Bulut S,OR A Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces. . 2023; 1 - 10. 10.53570/jnt.1230368
Vancouver	ÖZCAN A,Karabacak G,Bulut S,OR A Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces. . 2023; 1 - 10. 10.53570/jnt.1230368
IEEE	ÖZCAN A,Karabacak G,Bulut S,OR A "Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces." , ss.1 - 10, 2023. 10.53570/jnt.1230368
ISNAD	ÖZCAN, Ahmet vd. "Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces". (2023), 1-10. https://doi.org/10.53570/jnt.1230368

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. 10.53570/jnt.1230368
Chicago	ÖZCAN Ahmet,Karabacak Gökay,Bulut Sevcan,OR Aykut Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces. Journal of New Theory , no.43 (2023): 1 - 10. 10.53570/jnt.1230368
MLA	ÖZCAN Ahmet,Karabacak Gökay,Bulut Sevcan,OR Aykut Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces. Journal of New Theory, vol., no.43, 2023, ss.1 - 10. 10.53570/jnt.1230368
AMA	ÖZCAN A,Karabacak G,Bulut S,OR A Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces. Journal of New Theory. 2023; (43): 1 - 10. 10.53570/jnt.1230368
Vancouver	ÖZCAN A,Karabacak G,Bulut S,OR A Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces. Journal of New Theory. 2023; (43): 1 - 10. 10.53570/jnt.1230368
IEEE	ÖZCAN A,Karabacak G,Bulut S,OR A "Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces." Journal of New Theory, , ss.1 - 10, 2023. 10.53570/jnt.1230368
ISNAD	ÖZCAN, Ahmet vd. "Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces". Journal of New Theory 43 (2023), 1-10. https://doi.org/10.53570/jnt.1230368