Mordukhovich derivatives of the set-valued metric projection operator in general Banach spaces
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929245921476608 |
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| author | Li, Jinlu |
| author_facet | Li, Jinlu |
| contents | In this paper, we investigate the properties and the precise solutions of the Mordukhovich derivatives of the set-valued metric projection operator onto some closed balls in some general Banach spaces. In the Banach space c, we find the properties of Mordukhovich derivatives of the set-valued metric projection operator onto the closed subspace c0. We show that the metric projection from C[0, 1] to polynormal with degree less than or equal to n is a single-valued mapping. We investigate its Mordukhovich derivatives and Gateaux directional derivatives. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10827 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mordukhovich derivatives of the set-valued metric projection operator in general Banach spaces Li, Jinlu Functional Analysis 47H05, 46C05, 49M27, 65K10, 90C25 In this paper, we investigate the properties and the precise solutions of the Mordukhovich derivatives of the set-valued metric projection operator onto some closed balls in some general Banach spaces. In the Banach space c, we find the properties of Mordukhovich derivatives of the set-valued metric projection operator onto the closed subspace c0. We show that the metric projection from C[0, 1] to polynormal with degree less than or equal to n is a single-valued mapping. We investigate its Mordukhovich derivatives and Gateaux directional derivatives. |
| title | Mordukhovich derivatives of the set-valued metric projection operator in general Banach spaces |
| topic | Functional Analysis 47H05, 46C05, 49M27, 65K10, 90C25 |
| url | https://arxiv.org/abs/2402.10827 |