On $\mathcal{I}_{\theta }$-convergence in Neutrosophic Normed Spaces

Abstract

The purpose of this article is to investigate lacunary ideal convergence of sequences in neutrosophic normed space (NNS). Also, an original notion, named lacunary convergence of sequence in NNS, is defined. Also, lacunary $% \mathcal{I}$-limit points and lacunary $\mathcal{I}$-cluster points of sequences in NNS have been examined. Furthermore, lacunary Cauchy and lacunary $\mathcal{I}$-Cauchy sequences in NNS are introduced and some properties of these notions are studied.