Quasi-statistical convergence in neutrosophic normed spaces for triple sequence spaces

Abstract

In this paper, we present the notion of quasi-statistical convergence of triple sequences in the neutrosophic normed spaces mainly as a generalization of statistical convergence of triple sequences. We investigate a few principal properties of the newly presented notion and investigate the relationship with statistical convergence of triple sequences in the neutrosophic normed spaces. In the end, we introduce the concept of quasi-statistical Cauchy sequence of triple sequences and show that quasi-statistical Cauchy sequences for triple sequences are equivalent to quasi-statistical convergent triple sequences in the neutrosophic normed spaces.