On Asymptotically f-statistical Equivalent Set Sequences in the Sense of Wijsman

Abstract

The aim of this paper is to introduce a generalization of statistical convergence of asymptotically equivalent set sequences and examine some inclusion relations related to a new concept of Wijsman asymptotically equivalent statistical convergence of sequences of sets with respect to a modulus function f .

Asymptotically deferred f-statistical equivalence of sequences

“…2. For q n = n and p n = 0, then Definition 3.2 coincides with the definition of asymptotically f -statistical equivalence [19]. 3.…”