Asymptotically I_σ-equivalence of sequences of sets

Abstract

In this paper, we introduce the concepts of Wijsman p-strongly asymptotically invariant equivalence ([W_{V_σ)}^L]_p), Wijsman asymptotically I-invariant equivalence (W_{I_σ}^L) and Wijsman asymptotically I^*-invariant equivalence (W_{I_σ^*}^L). Also, we investigate the relationships among the concepts of Wijsman asymptotically invariant equivalence, Wijsman asymptotically invariant statistical equivalence, ([W_{V_σ)}^L]_p), (W_{I_σ}^L) and (W_{I_σ^*}^L)