Generalized Statistical Convergence in Probabilistic Normed Spaces

In this paper we de ne the concepts of λ-statistical convergence and λ-statistically Cauchy in probabilistic normed space and prove some interesting results. Furthermore, we dis- play an example such that our method of convergence is stronger than the usual convergence in probabilistic normed spaces. Keywords and phrases: Statistical convergence; λ-statistical convergence; t- norm; probabilistic normed space.