UZH-Logo

Maintenance Infos

Aubin property and uniqueness of solutions in cone constrained optimization


Klatte, Diethard; Kummer, Bernd (2013). Aubin property and uniqueness of solutions in cone constrained optimization. Mathematical Methods of Operations Research, 77(3):291-304.

Abstract

We discuss conditions for the Aubin property of solutions to perturbed cone constrained programs, by using and refining results given in Klatte-Kummer "Nonsmooth Equations in Optimization", Kluwer, 2002. In particular, we show that constraint nondegeneracy and hence uniqueness of the multiplier is necessary for the Aubin property of the critical point map. Moreover, we give conditions under which the critical point map has the Aubin property if and only if it is locally single-valued and Lipschitz.

We discuss conditions for the Aubin property of solutions to perturbed cone constrained programs, by using and refining results given in Klatte-Kummer "Nonsmooth Equations in Optimization", Kluwer, 2002. In particular, we show that constraint nondegeneracy and hence uniqueness of the multiplier is necessary for the Aubin property of the critical point map. Moreover, we give conditions under which the critical point map has the Aubin property if and only if it is locally single-valued and Lipschitz.

Citations

1 citation in Web of Science®
1 citation in Scopus®
Google Scholar™

Altmetrics

Downloads

49 downloads since deposited on 23 Dec 2013
32 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:2013
Deposited On:23 Dec 2013 14:41
Last Modified:05 Apr 2016 17:17
Publisher:Springer
ISSN:1432-2994
Additional Information:The final publication is available at link.springer.com
Publisher DOI:https://doi.org/10.1007/s00186-013-0429-6
Other Identification Number:merlin-id:8752
Permanent URL: https://doi.org/10.5167/uzh-86943

Download

[img]
Preview
Content: Accepted Version
Filetype: PDF
Size: 171kB
View at publisher

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