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The goal of this article is to present double almost lacunary statistical convergence of weight of g in 2-normed spaces. Furthermore, we examine some inclusion theorems and variations. [ABSTRACT FROM AUTHOR]

In this paper, we introduce and investigate ideal strong lacunary ward continuity in 2-normed spaces. A function f on a subset A of a 2-normed space X into X is ideal strongly lacunary ward continuous if it preserves ideal strong lacunary quasi-Cauchy sequences of points in A. We also studied some other kinds of continuities. [ABSTRACT FROM AUTHOR]

In this extended abstract, we first define the concept of statistical summability (N̅, p) in 2-normed spaces and then present necessary and/or sufficient Tauberian conditions for statistical summability (N̅, p) in 2-normed spaces. [ABSTRACT FROM AUTHOR]

In this paper, we investigate the concept of Abel statistical ward continuity in 2-normed spaces. A function f defined on a 2-normed space X into X is called Abel statistically ward continuous if it preserves Abel statistical quasi Cauchy sequences, where a sequence (xk) of points in X is called Abel statistically quasi Cauchy if lim x → 1 − (1 − x) ∑ k : | | Δ x k , z | | ≥ ε x k = 0 for every ε > 0 and z ∈ X, where Δxk = xk+1 − xk for every k ∈ N. Some other types of compactness and continuities are also studied and interesting results are obtained. [ABSTRACT FROM AUTHOR]