Statistical and rough statistical convergence in an S-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_ | 1866929475878387712 |
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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 ideas of statistical and rough statistical convergence in an $S$-metric space. We have investigated some of their basic properties. We have defined statistical Cauchyness and statistical boundedness of sequences and then some results related these ideas have been studied. We have defined the set of rough statistical limit points of a sequence in an $S$-metric space and have proved some relevant results associated with such type of convergence |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14973 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Statistical and rough statistical convergence in an S-metric space Khatun, Sukila Banerjee, Amar Kumar General Topology 40A05, 40A99 In this paper, using the concept of natural density, we have introduced the ideas of statistical and rough statistical convergence in an $S$-metric space. We have investigated some of their basic properties. We have defined statistical Cauchyness and statistical boundedness of sequences and then some results related these ideas have been studied. We have defined the set of rough statistical limit points of a sequence in an $S$-metric space and have proved some relevant results associated with such type of convergence |
| title | Statistical and rough statistical convergence in an S-metric space |
| topic | General Topology 40A05, 40A99 |
| url | https://arxiv.org/abs/2408.14973 |