On coderivatives and lipschitzian properties of the dual pair in optimization
In this paper we apply the concept of coderivative and other tools from the generalized di§erentiation theory for set-valued mappings to study the stability of the feasible sets of both, the primal and the dual problem in infinite-dimensional linear optimization with infinitely many explicit const...
Guardado en:
| Autores principales: | , , |
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| Publicado: |
2011
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| Materias: | |
| Acceso en línea: | https://bdigital.uncu.edu.ar/fichas.php?idobjeto=11807 |
| date_str_mv |
2011-06-29 |
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| object_type_str_mv |
Artículo |
| descriptores_str_mv |
Coderivative Dual pair and duality theory Infinite programming Programación infinita Programación lineal Programación semi infinita Semi-infinite programming Stability Teoría de la dualidad |
| todos_str_mv |
CONICET-UNCUYO UdeAlicante UNCuyo FCAI UNCuyo FCE UNCuyo ICB |
| description_str_mv |
In this paper we apply the concept of coderivative and other tools from the generalized di§erentiation theory for set-valued mappings to study the stability of the
feasible sets of both, the primal and the dual problem in infinite-dimensional linear
optimization with infinitely many explicit constraints and an additional conic constraint. After providing some specific duality results for our dual pair, we study the
Lipschitz-like property of both mappings and also give bounds for the associated
Lipschitz moduli. The situation for the dual shows much more involved than the
case of the primal problem. |
| autor_str_mv |
López, Marco A. Ridolfi, Andrea B. Vera de Serio, Virginia N. |
| disciplina_str_mv |
Matemática |
| titulo_str_mv |
On coderivatives and lipschitzian properties of the dual pair in optimization |
| id |
11807 |
| plantilla_str |
Producción Científico Académica |
| record_format |
Producción Científico Académica |
| tipo_str |
textuales |
| type_str_mv |
Articulos |
| title_full |
On coderivatives and lipschitzian properties of the dual pair in optimization |
| title_fullStr |
On coderivatives and lipschitzian properties of the dual pair in optimization On coderivatives and lipschitzian properties of the dual pair in optimization |
| title_full_unstemmed |
On coderivatives and lipschitzian properties of the dual pair in optimization On coderivatives and lipschitzian properties of the dual pair in optimization |
| description |
In this paper we apply the concept of coderivative and other tools from the generalized di§erentiation theory for set-valued mappings to study the stability of the
feasible sets of both, the primal and the dual problem in infinite-dimensional linear
optimization with infinitely many explicit constraints and an additional conic constraint. After providing some specific duality results for our dual pair, we study the
Lipschitz-like property of both mappings and also give bounds for the associated
Lipschitz moduli. The situation for the dual shows much more involved than the
case of the primal problem. |
| title |
On coderivatives and lipschitzian properties of the dual pair in optimization |
| spellingShingle |
On coderivatives and lipschitzian properties of the dual pair in optimization Coderivative Dual pair and duality theory Infinite programming Programación infinita Programación lineal Programación semi infinita Semi-infinite programming Stability Teoría de la dualidad López, Marco A. Ridolfi, Andrea B. Vera de Serio, Virginia N. |
| topic |
Coderivative Dual pair and duality theory Infinite programming Programación infinita Programación lineal Programación semi infinita Semi-infinite programming Stability Teoría de la dualidad |
| topic_facet |
Coderivative Dual pair and duality theory Infinite programming Programación infinita Programación lineal Programación semi infinita Semi-infinite programming Stability Teoría de la dualidad |
| publishDate |
2011 |
| author |
López, Marco A. Ridolfi, Andrea B. Vera de Serio, Virginia N. |
| author_facet |
López, Marco A. Ridolfi, Andrea B. Vera de Serio, Virginia N. |
| title_sort |
On coderivatives and lipschitzian properties of the dual pair in optimization |
| title_short |
On coderivatives and lipschitzian properties of the dual pair in optimization |
| url |
https://bdigital.uncu.edu.ar/fichas.php?idobjeto=11807 |
| estado_str |
3 |
| building |
Biblioteca Digital |
| filtrotop_str |
Biblioteca Digital |
| collection |
Producción Científico Académica |
| institution |
Sistema Integrado de Documentación |
| indexed_str |
2023-04-25 00:36 |
| _version_ |
1764120179008077824 |
