Certain aspects of rough I-statistical convergence in probabilistic n-normed space

Abstract

The main aim of this investigation is to introduce rough I -statistical convergence in probabilistic n-normed spaces (briefly Pr -n-spaces). We establish some results on rough I -statistical convergence and also we introduce the notion of rough I -statistical limit set in Pr -n-spaces and discuss some topological aspects on this set. Moreover, we define rough I-lacunary statistical convergent, rough lacunary I -convergent, rough lacunary I -Cauchy and rough lacunary I*-convergent sequences in Pr -n-spaces. We obtain several significant results related to these notions.