On generalized statistical convergence in random 2-normed space

Document Type : Regular Paper


Department of Mathematics, Istanbul Commerce University, Üsküdar, Istanbul, Turkey


In this paper, we shall define and study the concept of  -statistical convergence and  -statistical Cauchy in
random 2-normed space. We also introduce the concept of  -statistical completeness which would provide a
more general frame work to study the completeness in random 2-normed space. Furthermore, we also prove some new results.