Rough statistical convergence of sequences in a partial metric space
General Topology
2024-02-23 v1
Abstract
In this paper, using the concept of natural density, we have introduced the notion of rough statistical convergence which is an extension of the notion of rough convergence in a partial metric space. We have defined the set of rough statistical limit points of a sequence in a partial metric space and proved that this set is closed and bounded. Finally, we have found out the relationship between the set of statistical cluster points and the set of rough statistical limit points of sequences in a partial metric space.
Cite
@article{arxiv.2402.14452,
title = {Rough statistical convergence of sequences in a partial metric space},
author = {Sukila khatun and Amar Kumar Banerjee},
journal= {arXiv preprint arXiv:2402.14452},
year = {2024}
}
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10 pages