Asymptotically J_σ-equivalence of sequences of sets

Abstract

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}