The basic purpose of our work is to define λ-statistical convergence for the generalized difference sequences (i.e. \(λ\)-\(Δ^m\)-statistical convergence) on Intuitionistic Fuzzy Normed space (IFN space). We have proven topological results about this generalized method of sequence convergence. Also, we have given the \(λ\)-\(Δ^m\)-statistical Cauchy sequences along with its Cauchy criteria of convergence on these spaces.
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Antal et al. (2024) studied this question.
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