Not logged in.
Quick Search - Contribution
Contribution Details
| Type | Journal Article |
| Scope | Discipline-based scholarship |
| Title | Metric regularity in convex semi-infinite optimization under canonical perturbations |
| Organization Unit | |
| Authors |
|
| Item Subtype | Original Work |
| Refereed | Yes |
| Status | Published in final form |
| Language |
|
| Journal Title | SIAM Journal on Optimization |
| Publisher | Society for Industrial and Applied Mathematics |
| Geographical Reach | international |
| ISSN | 1052-6234 |
| Volume | 18 |
| Number | 3 |
| Page Range | 717 - 732 |
| Date | 2007 |
| Abstract Text | This paper is concerned with the Lipschitzian behavior of the optimal set of convex semi-infinite optimization problems under continuous perturbations of the right hand side of the constraints and linear perturbations of the objective function. In this framework we provide a sufficient condition for the metric regularity of the inverse of the optimal set mapping. This condition consists of the Slater constraint qualification, together with a certain additional requirement in the Karush-Kuhn-Tucker conditions. For linear problems this sufficient condition turns out to be also necessary for the metric regularity, and it is equivalent to some well-known stability concepts. |
| Related URLs | |
| Digital Object Identifier | 10.1137/060658345 |
| Other Identification Number | merlin-id:1200 |
| PDF File |
Download from ZORA
|
| Export |
BibTeX
EP3 XML (ZORA)
|
| Additional Information | Copyright © 2007, Society for Industrial and Applied Mathematics |