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 have established 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 obtained several significant results related to these notions.