$\mu$-Statistical Convergence of Sequences in Probabilistic n-Normed Spaces

Abstract

In this article, using the notion of a two-valued measure $\mu$, we propose the ideas of $\mu$-statistical convergence and $\mu$-density convergence in probabilistic n-normed spaces and study some of their properties in probabilistic n-normed spaces. Further, a condition for equality of the sets of $\mu$-statistical convergent and $\mu$-density convergent sequences in the space have been established. The definition of $\mu$-statistical Cauchy sequence in the space has also been introduced and some results have been established. Finally, we propose the notion of $\mu$-statistical limit points in these new settings and studied some properties.