In this paper we study the concept of asymptotically double lacunary statistical convergent sequences in probabilistic normed spaces and prove some basic properties.

In this paper we study the concept of lacunary statistical convergent triple sequences in probabilistic normed spaces and prove some basic properties.

In the present paper we introduce some vector-valued multiplier difference sequence spaces defined by a Musielak-Orlicz function, concepts of lacunary convergence and strong (A, u)-convergence, where A = (aik) is an infinite matrix of complex numbers and u = (ui) be any sequence of strictly positive real numbers. We also make an effort to study some topological properties and some inclusion rel...

For any lacunary sequence θ = (kr), 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 θ-statistical limit and strong θ-statistical cluster points of sequences on PN-spaces are obtained.

This study is about neutrosophic structures, which one of the popular topics recent days. In this study, different types convergence concepts were applied to difference sequences. With help properties double type sequences, concept sequences combined with structures that are advantageous work like Lacunary