Optimality Condition for Local Efficient Solutions of Vector Equilibrium Problems via Convexificators and Applications

Do Luu ()
Additional contact information
Do Luu: Thang Long University

Journal of Optimization Theory and Applications, 2016, vol. 171, issue 2, No 17, 643-665

Abstract: Abstract Fritz John and Karush–Kuhn–Tucker necessary conditions for local efficient solutions of constrained vector equilibrium problems in Banach spaces in which those solutions are regular in the sense of Ioffe via convexificators are established. Under suitable assumptions on generalized convexity, sufficient conditions are derived. Some applications to constrained vector variational inequalities and constrained vector optimization problems are also given.

Keywords: Vector equilibrium problems; Vector variational inequalities; Vector optimization problems; Regular points in the sense of Ioffe; Fritz John and Karush–Kuhn–Tucker optimality conditions; Convexificators; 90C46; 91B50; 49J52 (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://link.springer.com/10.1007/s10957-015-0815-8 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:171:y:2016:i:2:d:10.1007_s10957-015-0815-8

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

DOI: 10.1007/s10957-015-0815-8

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 ().