Abstract. The idea of statistical convergence was introduced in [1] and [17] and since then several generalizations and applications of this concept have been investigated by various authors. Recently Karakus [7] and Gürdal and S. Pehlivan [6] studied statistical convergence in probabilistic normed space and 2-Banach space, respectively. In this paper we propose to study statistical convergence in random 2-normed space which seems to be a quite new and interesting idea.

AMS Subject Classification (1991): 46H25, 46A99, 60H10

Keyword(s): distribution function, t-norm, triangle function, 2-norm, probabilistic normed space, random 2-normed space, statistical convergence, statistically Cauchy

Received November 18, 2008. (Registered under 59/2008.)