On statistical convergence in random 2-normed spaces

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.