UZH-Logo

Maintenance Infos

Metric regularity in convex semi-infinite optimization under canonical perturbations


Canovas, M J; Klatte, D; Lopez, M A; Parra, J (2007). Metric regularity in convex semi-infinite optimization under canonical perturbations. SIAM Journal on Optimization, 18(3):717-732.

Abstract

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.

Abstract

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.

Citations

36 citations in Web of Science®
35 citations in Scopus®
Google Scholar™

Altmetrics

Downloads

156 downloads since deposited on 29 Jan 2009
29 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:03 Faculty of Economics > Department of Business Administration
Dewey Decimal Classification:330 Economics
Language:English
Date:2007
Deposited On:29 Jan 2009 09:52
Last Modified:05 Apr 2016 12:54
Publisher:Society for Industrial and Applied Mathematics
ISSN:1052-6234
Additional Information:Copyright © 2007, Society for Industrial and Applied Mathematics
Publisher DOI:https://doi.org/10.1137/060658345
Related URLs:http://search.ebscohost.com/login.aspx?direct=true&db=buh&AN=27827221&loginpage=Login.asp&site=ehost-live

Download

[img]
Preview
Content: Accepted Version
Filetype: PDF
Size: 1MB
View at publisher
[img]
Preview
Filetype: PDF
Size: 1MB

TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.

Author Collaborations