2021•Journal of Inequalities and ApplicationsOpen access

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

Rasoul Abazari

Abstract

Abstract In this paper, the concept of probabilisticg-metric space with degreel, which is a generalization of probabilisticG-metric space, is introduced. Then, by endowing strong topology, the definition ofl-dimensional asymptotic density of a subsetAof $\mathbb{N}^{l}$ Nl is used to introduce a statistically convergent and Cauchy sequence and to study some basic facts.

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Key concepts: Metric (unit), Probabilistic logic, Generalization, Metric space, Mathematics, Convergence (economics), Cauchy distribution, Space (punctuation)