ROUGH STATISTICAL CONVERGENCE OF SEQUENCES IN A PARTIAL METRIC SPACE

Sukila Khatun, Amar Kumar Banerjee

DOI Number
https://doi.org/10.22190/FUMI240312016K
First page
209
Last page
218

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.


Keywords

Natural density, statistical convergence, rough convergence, partial metric spaces, rough limit sets

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References


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DOI: https://doi.org/10.22190/FUMI240312016K

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