Quite recently, Alotaibi and Mohiuddine (Adv. Differ. Equ. 2012:39, 2012) studied the idea of a random 2-normed space to determine some stability results concerning the cubic functional equation. In this paper, we define and study the concepts of I -convergence and I ? -convergence for double sequences in random 2-normed spaces and establish the relationship between these types of convergence, i.e., we show that I ? -convergence implies I -convergence in random 2-normed spaces. Furthermore, we have also demonstrated through an example that, in general, I -convergence does not imply I ? -convergence in random 2-normed spaces. MSC:40A05, 46A70.
展开▼
