Abstract
The aim of this paper is to establish some relationship between the set of strong uniform statistical cluster points and the set of strong statistical cluster points of a given sequence in the probabilistic normed space. To this aim, let the uniform density be on the positive integers N for a sequence in the probabilistic normed space, that is, cases as equal of the lower and upper uniform density of a subset of N. We introduce the concept of strong uniform statistical cluster points and give a new type convergence in the probabilistic normed space. Note that the set of strong uniform statistical cluster points is a non-empty compact set. We also investigate some properties of the set all strong uniform cluster points of a sequence in the probabilistic normed space.