An extension of asymptotically lacunary statistical equivalence set sequences

Abstract

This paper presents, for sequences of sets, the notions of asymptotically lacunary statistical equivalent (Wijsman sense) of multiple L, strongly asymptotically lacunary p-equivalent (Wijsman sense) of multiple L and strongly Cesàro asymptotically p-equivalence (Wijsman sense) of multiple L. In addition to these definitions inclusion theorems are also presented