An Extragradient Method for Solving Variational Inequalities without Monotonicity

Ming Lei () and Yiran He ()
Additional contact information
Ming Lei: Sichuan Normal University
Yiran He: Sichuan Normal University

Journal of Optimization Theory and Applications, 2021, vol. 188, issue 2, No 7, 432-446

Abstract: Abstract A new extragradient projection method, which does not require generalized monotonicity, is devised in this paper. In order to ensure its global convergence, we assume only that the Minty variational inequality has a solution. In particular, it applies to quasimonotone variational inequalities having a nontrivial solution.

Keywords: Minty variational inequality; Projection method; Extragradient method; Global convergence; 47J20; 90C33; 90C25 (search for similar items in EconPapers)
Date: 2021
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/s10957-020-01791-x 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:188:y:2021:i:2:d:10.1007_s10957-020-01791-x

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

DOI: 10.1007/s10957-020-01791-x

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 ().