Lipschitz modulus of the optimal set mapping in convex optimization via minimal subproblems
Keywords: convex programming, metric regularity, Lipschitz modulus
Abstract
In this paper we relate the Lipschitz modulus of the optimal set mapping of a canonically perturbed convex optimization problem in Rn with the Lipschitz moduli of suitable subproblems with exactly n constraints. This approach allows us to simplify other expressions for the modulus given in [8] in terms of dc functions involving the problem's data.
Más información
| Título de la Revista: | Pacific Journal of Optimization |
| Volumen: | 4 |
| Número: | 3 |
| Editorial: | Yokohama Publishers |
| Fecha de publicación: | 2008 |
| Página de inicio: | 411 |
| Página final: | 422 |
| Idioma: | English |
| Financiamiento/Sponsor: | This research has been partially supported by grants MTM2005-08572-C03 (01-02), MTM2006-27491-E from MEC (Spain) and FEDER (E.U.), and ACOMP/2007/247-292, from Generalitat Valenciana (Spain). |
| Notas: | ISI |