Notes on Constraint Qualifications for Second-Order Optimality Conditions

Giorgio Giorgi

Journal of Mathematics Research, 2019, vol. 11, issue 5, 16-32

Abstract: In the first part of this paper we point out some basic properties of the critical cones used in second-order optimality conditions and give a simple proof of a strong second-order necessary optimality condition by assuming a “modified” first-order Abadie constraint qualification. In the second part we give some insights on second-order constraint qualifications related to second-order local approximations of the feasible set.

Keywords: second-order necessary optimality conditions; second-order constraint qualifications; second-order tangent sets; Abadie-type conditions (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.ccsenet.org/journal/index.php/jmr/article/download/0/0/40734/42023 (application/pdf)
http://www.ccsenet.org/journal/index.php/jmr/article/view/0/40734 (text/html)

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:ibn:jmrjnl:v:11:y:2019:i:5:p:16

Access Statistics for this article

More articles in Journal of Mathematics Research from Canadian Center of Science and Education Contact information at EDIRC.
Bibliographic data for series maintained by Canadian Center of Science and Education ().