Best Approximations on Quasi-Cone Metric Spaces
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arXiv
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| Auteurs principaux: | , , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916651478286336 |
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| author | Zakiyudin, Ahmad Hisbu Fahim, Kistosil Af-Idah, Nur Millatul Setiawan, Felix Lyanto Lathifah, Ririana Annisatul Nurdin, Nur Izzah Tarisma, Tantri |
| author_facet | Zakiyudin, Ahmad Hisbu Fahim, Kistosil Af-Idah, Nur Millatul Setiawan, Felix Lyanto Lathifah, Ririana Annisatul Nurdin, Nur Izzah Tarisma, Tantri |
| contents | This paper focuses on the best approximation in quasi-cone metric spaces, a combination of quasi-metrics and cone metrics, which generalizes the notion of distance by allowing it to take values in an ordered Banach space. We explore the fundamental properties of best approximations in this setting, such as the best approximation sets and the Chebyshev sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_10137 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Best Approximations on Quasi-Cone Metric Spaces Zakiyudin, Ahmad Hisbu Fahim, Kistosil Af-Idah, Nur Millatul Setiawan, Felix Lyanto Lathifah, Ririana Annisatul Nurdin, Nur Izzah Tarisma, Tantri Functional Analysis 41A50, 41A65, 46A16 This paper focuses on the best approximation in quasi-cone metric spaces, a combination of quasi-metrics and cone metrics, which generalizes the notion of distance by allowing it to take values in an ordered Banach space. We explore the fundamental properties of best approximations in this setting, such as the best approximation sets and the Chebyshev sets. |
| title | Best Approximations on Quasi-Cone Metric Spaces |
| topic | Functional Analysis 41A50, 41A65, 46A16 |
| url | https://arxiv.org/abs/2503.10137 |