I-convergence of sequences in metric-like spaces
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916368679436288 |
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| author | Malik, Prasanta Das, Saikat |
| author_facet | Malik, Prasanta Das, Saikat |
| contents | In this paper we introduce and study the notion of I-convergence of sequences in a metric-like space, where I is an ideal of subsets of the set N of all natural numbers. Further introducing the notion of I*-convergence of sequences in a metric-like space we study its relationship with I-convergence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13264 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | I-convergence of sequences in metric-like spaces Malik, Prasanta Das, Saikat General Topology Functional Analysis In this paper we introduce and study the notion of I-convergence of sequences in a metric-like space, where I is an ideal of subsets of the set N of all natural numbers. Further introducing the notion of I*-convergence of sequences in a metric-like space we study its relationship with I-convergence. |
| title | I-convergence of sequences in metric-like spaces |
| topic | General Topology Functional Analysis |
| url | https://arxiv.org/abs/2408.13264 |