An Elementary Proof of the Existence of Solutions of a Monotone Variational Inequality in the Finite-Dimensional Case

Jean-Pierre Crouzeix ()
Additional contact information
Jean-Pierre Crouzeix: Université Blaise Pascal

Journal of Optimization Theory and Applications, 2016, vol. 168, issue 2, No 3, 445 pages

Abstract: Abstract This short note shows that the existence of solutions of a finite-dimensional monotone variational inequality on a compact set can be proved with only very elementary tools.

Keywords: Variational inequalities; Maximal monotone maps; Existence of solutions; 47H05; 49J40; 47J20 (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-015-0760-6 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:168:y:2016:i:2:d:10.1007_s10957-015-0760-6

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

DOI: 10.1007/s10957-015-0760-6

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 ().