Ideal convergent sequences of functions in probabilistic normed spaces

Abstract

In the present article, we have defined the notion of \(I\)-pointwise convergence and \(I\)-uniform convergence of sequence of functions defined on a probabilistic normed space with respect to the probabilistic norm \(\nu\). Further we have given the Cauchy criteria for \(I\)-pointwise and \(I\)-uniform convergence in PNS. Also, we have proved certain results on continuity of functions with respect to \(\nu\) in PNS.