# zbMATH — the first resource for mathematics

Generalized $$\Delta^m$$-statistical convergence in probabilistic normed space. (English) Zbl 1234.40003
Summary: We define the concepts of $$S^\lambda_{\Delta^m}$$-statistical convergence and $$S^\lambda_{\Delta^m}$$-statistically Cauchy sequence in probabilistic normed spaces and give some results.

##### MSC:
 40A35 Ideal and statistical convergence 40J05 Summability in abstract structures (should also be assigned at least one other classification number from Section 40-XX) 46S50 Functional analysis in probabilistic metric linear spaces
##### Keywords:
statistical convergence; probabilistic normed space