Rough convergence in 2-normed spaces

Abstract

In this work, we introduced the notions of rough convergence, rough Cauchy sequence and the set of rough limit points of a sequence and obtained rough convergence criteria associated with this set in 2-normed space. Later, we proved that this set is closed and convex. Finally, we examined the relations between rough convergence and rough Cauchy sequence in 2-normed space.

In this work, we introduced the notions of rough convergence, rough Cauchy sequence and the set of rough limit points of a sequence and obtained rough convergence criteria associated with this set in 2-normed space. Later, we proved that this set is closed and convex. Finally, we examined the relations between rough convergence and rough Cauchy sequence in 2-normed space.