ROUGH STATISTICAL CONVERGENCE OF SEQUENCES IN A PARTIAL METRIC SPACE

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.

Authors

Publication Details

Journal
Facta Universitatis Series Mathematics and Informatics
Published
2025-04-16
DOI
https://doi.org/10.22190/fumi240312016k
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
0.00
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article

ROUGH STATISTICAL CONVERGENCE OF SEQUENCES IN A PARTIAL METRIC SPACE

Sukila Khatun, Amar Kumar Banerjee
Facta Universitatis Series Mathematics and Informatics
Approximation Theory and Sequence Spaces
article

ROUGH STATISTICAL CONVERGENCE OF SEQUENCES IN A PARTIAL METRIC SPACE

Sukila Khatun, Amar Kumar Banerjee
article en

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.

Facta Universitatis Series Mathematics and Informatics
Openalex Percentile: Top 83%
Approximation Theory and Sequence Spaces
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