Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces

Özcan A., Karabacak G., Bulut S., Or A.

Journal of New Theory, no.43, pp.1-10, 2023 (Peer-Reviewed Journal) identifier

  • Publication Type: Article / Article
  • Publication Date: 2023
  • Doi Number: 10.53570/jnt.1230368
  • Journal Name: Journal of New Theory
  • Journal Indexes: TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1-10
  • Istanbul Gelisim University Affiliated: No

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.