On rough I_2-convergence of double sequences

Abstract

In this study, we introduce the notion of rough ℐ_2-convergence and the set of rough ℐ_2-limit points of a double sequence and obtained two rough ℐ_2-convergence criteria associated with this set. Later, we proved that this set is closed and convex. Finally, we examined the relationships between the set of cluster points and the set of rough ℐ_2-limit points of a double sequence.