Strong Lacunary Statistical Limit and Cluster Points on Probabilistic Normed Spaces

For any lacunary sequence θ =(k_r), the aim of the present work is to introduce strong θ-statistical limit and strong θ-statistical cluster points of sequences on probabilistic normed spaces (briefly PN-spaces). Some relations among the sets of ordinary limit points, strong $\theta $-statistical limit and strong $\theta $-statistical cluster points of sequences on $PN$-spaces are obtained.