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

Authors : Ömer Kişi

Pages : 67-76

Doi:10.33401/fujma.873029

View : 20 | Download : 13

Publication Date : 2021-06-01

Article Type : Research

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.
Keywords : Lacunary ideal convergence, Lacunary convergence, Lacunary $% mathcal{I}$-limit points, Lacunary $mathcal{I}$-cluster points, Neutrosophic normed space