Rough statistical convergence of sequences in a partial metric space
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929252741414912 |
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| author | khatun, Sukila Banerjee, Amar Kumar |
| author_facet | khatun, Sukila Banerjee, Amar Kumar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14452 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rough statistical convergence of sequences in a partial metric space khatun, Sukila Banerjee, Amar Kumar General Topology 40A05, 40A99 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. |
| title | Rough statistical convergence of sequences in a partial metric space |
| topic | General Topology 40A05, 40A99 |
| url | https://arxiv.org/abs/2402.14452 |