Rough $\mathcal{I}$-statistical convergence in a partial metric space
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914168382160896 |
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| author | Khatun, Sukila Hasan, Khairul Banerjee, Amar Kumar |
| author_facet | Khatun, Sukila Hasan, Khairul Banerjee, Amar Kumar |
| contents | In this paper we study the notion of rough $\mathcal{I}$-statistical convergence of sequences in a partial metric space as an extension work of both the notions of rough statistical and rough ideal convergence. Here we define rough $\mathcal{I}$-statistical limit set and discuss some relevant properties associated with this set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18355 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rough $\mathcal{I}$-statistical convergence in a partial metric space Khatun, Sukila Hasan, Khairul Banerjee, Amar Kumar General Topology 40A05, 40G99 In this paper we study the notion of rough $\mathcal{I}$-statistical convergence of sequences in a partial metric space as an extension work of both the notions of rough statistical and rough ideal convergence. Here we define rough $\mathcal{I}$-statistical limit set and discuss some relevant properties associated with this set. |
| title | Rough $\mathcal{I}$-statistical convergence in a partial metric space |
| topic | General Topology 40A05, 40G99 |
| url | https://arxiv.org/abs/2511.18355 |