On asymptotically Wijsman lacunary statistical convergence of set sequences in ideal context

Abstract

In this paper, we introduce some definitions which are natural combination of the notions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, Wijsman convergence and ideal. In addition, we also define the concept of asymptotically equivalent sequences of sets in the sense of Wijsman convergence and prove some interesting results related to these concepts.