Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces
Journal of New Theory, sa.43, ss.1-10, 2023 (TRDizin)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2023
- Doi Numarası: 10.53570/jnt.1230368
- Dergi Adı: Journal of New Theory
- Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1-10
- İstanbul Gelişim Üniversitesi Adresli: Hayır
Özet
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.