Normal regularity for the feasible set of semi-infinite multiobjective optimization problems with applications

Thai Doan Chuong () and Do Sang Kim ()
Additional contact information
Thai Doan Chuong: University of New South Wales
Do Sang Kim: Pukyong National University

Annals of Operations Research, 2018, vol. 267, issue 1, No 6, 99 pages

Abstract: Abstract We establish verifiable conditions for the feasible set of a nonsmooth semi-infinite multiobjective optimization problem to have the normal regularity (that is, the coincidence of the Fréchet normal cone and the limiting normal one) at a given point. In this way, both the Fréchet normal cone and the limiting normal one to the considered set are then computed via active constraint multipliers and limiting subdifferentials of the involved constraints. In order to achieve such goals, two classes of nonsmooth functions are introduced and exploited. Finally, the obtained results are applied to provide necessary optimality conditions for semi-infinite multiobjective optimization problems.

Keywords: Uniformly sequentially regular function; Normal regularity; Limiting subdifferential; Semi-infinite program; Multiobjective optimization; 49K99; 65K10; 90C29; 90C46 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1007/s10479-016-2337-7 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:annopr:v:267:y:2018:i:1:d:10.1007_s10479-016-2337-7

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10479

DOI: 10.1007/s10479-016-2337-7

Access Statistics for this article

Annals of Operations Research is currently edited by Endre Boros

More articles in Annals of Operations Research from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().