Statistical convergence in probabilistic generalized metric spaces w.r.t. strong topology

Journal of Inequalities and Applications

Rasoul Abazari¹ 

[1] Department of Mathematics, Ardabil Branch, Islamic Azad University;

关键词: Probabilistic metric space;    Generalized metric space;    Statistical convergence;    Statistical Cauchy sequence;    Strong topology;   

DOI  :  10.1186/s13660-021-02669-w

来源: DOAJ

【 摘 要 】

Abstract In this paper, the concept of probabilistic g-metric space with degree l, which is a generalization of probabilistic G-metric space, is introduced. Then, by endowing strong topology, the definition of l-dimensional asymptotic density of a subset A of N l $\mathbb{N}^{l}$ is used to introduce a statistically convergent and Cauchy sequence and to study some basic facts.

【 授权许可】

Unknown