Mordukhovich derivatives of the metric projection operator in uniformly convex and uniformly smooth Banach spaces
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929218190835712 |
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| author | Li, Jinlu |
| author_facet | Li, Jinlu |
| contents | In this paper, we investigate the properties of the Mordukhovich derivatives of the metric projection operator onto closed balls, closed and convex cylinders and positive cones in uniformly convex and uniformly smooth Banach spaces. We find the exact expressions for Mordukhovich derivatives of the metric projection operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11321 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mordukhovich derivatives of the metric projection operator in uniformly convex and uniformly smooth Banach spaces Li, Jinlu Functional Analysis 47H05, 46C05, 49M27, 65K10, 90C25 In this paper, we investigate the properties of the Mordukhovich derivatives of the metric projection operator onto closed balls, closed and convex cylinders and positive cones in uniformly convex and uniformly smooth Banach spaces. We find the exact expressions for Mordukhovich derivatives of the metric projection operator. |
| title | Mordukhovich derivatives of the metric projection operator in uniformly convex and uniformly smooth Banach spaces |
| topic | Functional Analysis 47H05, 46C05, 49M27, 65K10, 90C25 |
| url | https://arxiv.org/abs/2401.11321 |