Conditioning and Upper-Lipschitz Inverse Subdifferentials in Nonsmooth Optimization Problems

O. Cornejo, A. Jourani and C. Zălinescu
Additional contact information
O. Cornejo: Universidad de Talca
A. Jourani: Université de Bourgogne
C. Zălinescu: University Al. I. Cuza

Journal of Optimization Theory and Applications, 1997, vol. 95, issue 1, No 6, 127-148

Abstract: Abstract In this paper, we study conditioning problems for convex and nonconvex functions defined on normed linear spaces. We extend the notion of upper Lipschitzness for multivalued functions introduced by Robinson, and show that this concept ensures local conditioning in the nonconvex case via an abstract subdifferential; in the convex case, we obtain complete characterizations of global conditioning in terms of an extension of the upper-Lipschitz property.

Keywords: Subdifferentials; upper-Lipschitz property; conditioning; Ekeland variational principle (search for similar items in EconPapers)
Date: 1997
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://link.springer.com/10.1023/A:1022687412779 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:95:y:1997:i:1:d:10.1023_a:1022687412779

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1023/A:1022687412779

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().