(λ, μ)− Statistical Convergence for Double Sequences on L− Fuzzy Normed Space

Abstract

In the context of L− fuzzy normed spaces, which extend the concept of fuzzy normed spaces, the
notion of (λ, μ)− statistical convergence for double sequences has been introduced and further developed. This
concept serves as a generalization of statistical convergence, specifically tailored for double sequences. Following
the introduction of (λ, μ)− statistical convergence, the notions of (λ, μ)− statistical Cauchy double sequences
and (λ, μ)− statistical bounded sequences are explored. Furthermore, significant relationships between these concepts
are established, providing deeper insights into the structure and properties of double sequences within the
framework of L− fuzzy normed spaces.