On rough convergence in 2-Normed spaces and some properties

Abstract

In this study, we investigated relationships between rough convergence and classical convergence and studied some properties about the notion of rough convergence, the set of rough limit points and rough cluster points of a sequence in $2$-normed space. Also, we examined the dependence of $r$-limit $\textrm{LIM}_2^{r} x_n$ of a fixed sequence $(x_n)$ on varying parameter $r$ in $2$-normed space.