Second-Order Optimality Conditions in Multiobjective Optimization Problems

B. Aghezzaf and M. Hachimi
Additional contact information
B. Aghezzaf: Université Hassan II
M. Hachimi: Université Hassan II

Journal of Optimization Theory and Applications, 1999, vol. 102, issue 1, No 3, 37-50

Abstract: Abstract In this paper, we develop second-order necessary and sufficient optimality conditions for multiobjective optimization problems with both equality and inequality constraints. First, we generalize the Lin fundamental theorem (Ref. 1) to second-order tangent sets; then, based on the above generalized theorem, we derive second-order necessary and sufficient conditions for efficiency.

Keywords: Multiobjective optimization; efficient solutions; constraint qualifications; second-order tangent sets; second-order necessary and sufficient conditions (search for similar items in EconPapers)
Date: 1999
References: View complete reference list from CitEc
Citations: View citations in EconPapers (15)

Downloads: (external link)
http://link.springer.com/10.1023/A:1021834210437 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:102:y:1999:i:1:d:10.1023_a:1021834210437

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

DOI: 10.1023/A:1021834210437

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 ().