Ideal convergence of double sequences in random 2-normed spaces

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.