Vector subdifferentials and tangent cones
Following the Rockafellar's definition for the subdifferential of a real map we define a vector subdifferential using the normal cone to the epigraph of the function. For several kinds of normal cones we have different subdifferentials; we give properties, links between them, links with addapte...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2005-08-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/807 |
| _version_ | 1818109422418788352 |
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| author | Cristina Stamate |
| author_facet | Cristina Stamate |
| author_sort | Cristina Stamate |
| collection | DOAJ |
| description | Following the Rockafellar's definition for the subdifferential of a real map we define a vector subdifferential using the normal cone to the epigraph of the function. For several kinds of normal cones we have different subdifferentials; we give properties, links between them, links with addapted directional derivatives and a genaralization for the Correa Joffré Thibault and for Zagrodny theorem from the real case. |
| first_indexed | 2024-12-11T02:31:00Z |
| format | Article |
| id | doaj.art-a54601437508450cb562367040c5e13d |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-12-11T02:31:00Z |
| publishDate | 2005-08-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-a54601437508450cb562367040c5e13d2022-12-22T01:23:50ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2005-08-01342Vector subdifferentials and tangent conesCristina Stamate0Institute of Mathematics, Iasi, RomaniaFollowing the Rockafellar's definition for the subdifferential of a real map we define a vector subdifferential using the normal cone to the epigraph of the function. For several kinds of normal cones we have different subdifferentials; we give properties, links between them, links with addapted directional derivatives and a genaralization for the Correa Joffré Thibault and for Zagrodny theorem from the real case.https://ictp.acad.ro/jnaat/journal/article/view/807vector order spacesconvex pointed normal conestangent conesdual spacesPareto optimizationvector subdifferentials |
| spellingShingle | Cristina Stamate Vector subdifferentials and tangent cones Journal of Numerical Analysis and Approximation Theory vector order spaces convex pointed normal cones tangent cones dual spaces Pareto optimization vector subdifferentials |
| title | Vector subdifferentials and tangent cones |
| title_full | Vector subdifferentials and tangent cones |
| title_fullStr | Vector subdifferentials and tangent cones |
| title_full_unstemmed | Vector subdifferentials and tangent cones |
| title_short | Vector subdifferentials and tangent cones |
| title_sort | vector subdifferentials and tangent cones |
| topic | vector order spaces convex pointed normal cones tangent cones dual spaces Pareto optimization vector subdifferentials |
| url | https://ictp.acad.ro/jnaat/journal/article/view/807 |
| work_keys_str_mv | AT cristinastamate vectorsubdifferentialsandtangentcones |