Affiliations: Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Chennai, Tamilnadu, India
Correspondence:
[*]
Corresponding author. Suja K, Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Chennai-603203, Tamilnadu, India. E-mail: [email protected].
Abstract: The purpose of this article is to study the notion of statistical limit superior(SLS) and statistical limit inferior(SLI) in non-Archimedean(NA)
L
-fuzzy normed spaces(
L
-FNS). The concept of SLS and SLI is examined and extended to SLS and SLI in NA
L
-FNS. Moreover, the analogue of some results between SLS and SLI over NA
L
-FNS have been discussed. And also, it is proved that a bounded sequence is statistically convergent over NA
L
-FNS. Throughout this article,
K
denotes a complete, non-trivially valued, non-Archimedean fields(NAF).
Keywords: Statistical limit superior and statistical limit inferior, 𝔏-fuzzy
normed space, non-Archimedean fields
