Affiliations:
Bartın University, Department of Mathematics, Faculty of Science, Bartın, Turkey
Correspondence:
[*]
Corresponding author. Ömer Kişi, Bartın University, Department of Mathematics, Faculty of Science, 74000, Bartın, Turkey. E-mail: [email protected].
Abstract: In this paper, we have investigated
I2
-
λ¯
-statistically convergence for double sequences in fuzzy normed linear spaces, where λ = (λr) and μ = (μs) be two non-decreasing sequences of positive real numbers, each tending to ∞ and such that λr+1 ≤ λr + 1, λ1 = 1; μs+1 ≤ μs + 1, μ1 = 1. Some inclusion relations between
I2
-statistically convergent and
I2
-
λ¯
-statistically convergent double sequences in fuzzy normed linear spaces are established. Finally, we have introduced
I2
-
[V,λ¯]FN
-summability and
I2
-[C, 1] FN-summability of double sequences, and then, we have studied the relation between these concepts and
λ¯
-statistical convergence.
