Sequential characterizations of approximate solutions in convex vector optimization problems with set-valued maps

Nithirat Sisarat (), Rabian Wangkeeree () and Tamaki Tanaka ()
Additional contact information
Nithirat Sisarat: Naresuan University
Rabian Wangkeeree: Naresuan University
Tamaki Tanaka: Niigata University

Journal of Global Optimization, 2020, vol. 77, issue 2, No 3, 273-287

Abstract: Abstract This paper deals with a convex vector optimization problem with set-valued maps. In the absence of constraint qualifications, it provides, by the scalarization theorem, sequential Lagrange multiplier conditions characterizing approximate weak Pareto optimal solutions for the problem in terms of the approximate subdifferentials of the marginal function associated with corresponding set-valued maps. The paper shows also that this result yields the approximate Lagrange multiplier condition for the problem under a new constraint qualification which is weaker than the Slater-type constraint qualification. Illustrative examples are also provided to discuss the significance of the sequential conditions.

Keywords: Convex vector optimization problems with set-valued maps; Sequential Lagrange multiplier conditions; Constraint qualifications; Scalarizations; Approximate weak Pareto optimal solutions; 90C26; 90C29; 90C46; 90C48 (search for similar items in EconPapers)
Date: 2020
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/s10898-019-00864-0 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:jglopt:v:77:y:2020:i:2:d:10.1007_s10898-019-00864-0

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/10898

DOI: 10.1007/s10898-019-00864-0

Access Statistics for this article

Journal of Global Optimization is currently edited by Sergiy Butenko

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