Asymptotically J_σ-Equivalence of Sequences of Sets

In this study, we introduce the concepts of Wijsman asymptotically J- invariant equivalence (W L J σ ) ,  Wijsman asymptotically strongly p -invariant equivalence  ([W L V σ ) ] p ) and Wijsman asymptotically J * -invariant equivalence  (W L J * σ ) . Also, we investigate the relationships among the concepts of Wijsman asymptotically invariant equivalence, Wijsman asymptotically invariant statistical equivalence,  W L J σ ,  [W L V σ ) ] p  and  W L J * σ .