Ulusu, Uğur2022-12-262022-12-262022https://doi.org/10.31801/cfsuasmas.903988http://hdl.handle.net/20.500.12575/86448In this paper, we introduce the notions of asymptotical strong σ2-equivalence, asymptotical σ2-statistical equivalence, asymptotical lacunary strong σ2-equivalence and asymptotical lacunary σ2-statistical equivalence in the Wijsman sense for double set sequences. Also, we investigate some relations between these new asymptotical equivalence notions.enAsymptotical equivalence, double lacunary sequence, invariant mean, statistical convergence, convergence in the Wijsman senseArticle7111121303-5991