Rough ideal convergence in a partial metric space
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866929675938299904 |
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| author | Khatun, Sukila Banerjee, Amar Kumar Mondal, Rahul |
| author_facet | Khatun, Sukila Banerjee, Amar Kumar Mondal, Rahul |
| contents | In this paper, using the concept of ideal, we study the idea of rough ideal convergence of sequences which is an extension of the notion of rough convergence of sequences in a partial metric space. We define the set of rough $\mathcal{I}$-limit points and the set of rough $\mathcal{I}$-cluster points and then we prove some relevant results associated with these sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08060 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rough ideal convergence in a partial metric space Khatun, Sukila Banerjee, Amar Kumar Mondal, Rahul General Topology 40A05, 40G15 In this paper, using the concept of ideal, we study the idea of rough ideal convergence of sequences which is an extension of the notion of rough convergence of sequences in a partial metric space. We define the set of rough $\mathcal{I}$-limit points and the set of rough $\mathcal{I}$-cluster points and then we prove some relevant results associated with these sets. |
| title | Rough ideal convergence in a partial metric space |
| topic | General Topology 40A05, 40G15 |
| url | https://arxiv.org/abs/2501.08060 |