Note on selection principles of Kočinac

Abstract

This paper investigates αdi, i ∈ {2, 3, 4}, selection principles (which are modification of known selection principles of Kočinac) on a double sequence of double sequences of real numbers which converge to a point a ∈ ℝ in Pringsheim's sense. A stronger result than one given in [6] will be proved for the αd2 selection principle. Also, two more propositions will be proved for the Sd1 and Sφ1 selection principles, which are also improvements of results given in [6].