The Open Mathematics Journal

2008, 1 : 82-88
Published online 2008 November 5. DOI: 10.2174/1874117400801010082
Publisher ID: TOMATJ-1-82

Generalized Statistical Convergence in Probabilistic Normed Spaces

Abdullah Alotaibi
Department of Mathematics, King Abdul Aziz University, P.O.BOX:- 80203, Jeddah 21589, Saudi Arabia.

ABSTRACT

In this paper we define 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:

Statistical convergence, λ-statistical convergence, t- norm.