On Strong A-statistical Convergence in Probabilistic Metric Spaces
Functional Analysis
2022-04-07 v1
Abstract
In this paper we study some basic properties of strong A-statistical convergence and strong A-statistical Cauchyness of sequences in probabilistic metric spaces not done earlier. We also study some basic properties of strong A-statistical limit points and strong A-statistical cluster points of a sequence in a probabilistic metric space. Further we also introduce the notion of strong statistically A-summable sequence in a probabilistic metric space and study its relationship with strong A-statistical convergence.
Cite
@article{arxiv.2204.02727,
title = {On Strong A-statistical Convergence in Probabilistic Metric Spaces},
author = {Prasanta Malik and Samiran Das},
journal= {arXiv preprint arXiv:2204.02727},
year = {2022}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2007.09173