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 |
| Sumario: | 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. |
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