Numbers of the connected components of the solution sets of monotone affine vector variational inequalities

Vu Trung Hieu ()
Additional contact information
Vu Trung Hieu: Phuong Dong University

Journal of Global Optimization, 2019, vol. 73, issue 1, No 9, 223-237

Abstract: Abstract This paper establishes several upper and lower estimates for the maximal number of the connected components of the solution sets of monotone affine vector variational inequalities. Our results give a partial solution to Question 2 in Yen and Yao (Optimization 60:53–68, 2011) and point out that the number depends not only on the number of the criteria but also on the number of variables of the vector variational inequality under investigation.

Keywords: Monotone affine vector variational inequality; Solution set; Number of connected components; Scalarization formula; Skew-symmetric matrix; 49J40; 47H05; 90C29; 90C33 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s10898-018-0678-2 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:73:y:2019:i:1:d:10.1007_s10898-018-0678-2

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

DOI: 10.1007/s10898-018-0678-2

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 ().