Characterizing the Nonemptiness and Compactness of the Solution Set of a Vector Variational Inequality by Scalarization

X. X. Huang (), Y. P. Fang () and X. Q. Yang ()
Additional contact information
X. X. Huang: Chongqing University
Y. P. Fang: Sichuan University
X. Q. Yang: The Hong Kong Polytechnic University

Journal of Optimization Theory and Applications, 2014, vol. 162, issue 2, No 11, 548-558

Abstract: Abstract In this paper, the nonemptiness and compactness of the solution set of a pseudomonotone vector variational inequality defined in a finite-dimensional space are characterized in terms of that of the solution sets of a family of linearly scalarized variational inequalities.

Keywords: Vector variational inequality; Solution set; Pseudomonotonicity; Scalarization; Vector optimization (search for similar items in EconPapers)
Date: 2014
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/s10957-012-0224-1 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:162:y:2014:i:2:d:10.1007_s10957-012-0224-1

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

DOI: 10.1007/s10957-012-0224-1

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 ().