Wijsman lacunary invariant statistical convergence for triple sequences via Orlicz function

Abstract

In this paper, we generalized the Wijsman lacunary invariant statistical convergence of closed sets in metric space by introducing the Wijsman lacunary invariant statistical φ̃ convergence for the sets of triple sequences. We introduce the concepts of Wijsman invariant φ̃ -convergence, Wijsman invariant statistical φ̃ -convergence, Wijsman lacunary invariant φ̃ -convergence, Wijsman lacunary invariant statistical φ̃ -convergence for the sets of triple sequences. In addition, we investigate existence of some relations among these new notations for the sets of triple sequences.