The Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Space

Y. Censor (), A. Gibali () and S. Reich ()
Additional contact information
Y. Censor: University of Haifa
A. Gibali: The Technion—Israel Institute of Technology
S. Reich: The Technion—Israel Institute of Technology

Journal of Optimization Theory and Applications, 2011, vol. 148, issue 2, No 6, 318-335

Abstract: Abstract We present a subgradient extragradient method for solving variational inequalities in Hilbert space. In addition, we propose a modified version of our algorithm that finds a solution of a variational inequality which is also a fixed point of a given nonexpansive mapping. We establish weak convergence theorems for both algorithms.

Keywords: Extragradient method; Nonexpansive mapping; Subgradient; Variational inequalities (search for similar items in EconPapers)
Date: 2011
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (53)

Downloads: (external link)
http://link.springer.com/10.1007/s10957-010-9757-3 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:148:y:2011:i:2:d:10.1007_s10957-010-9757-3

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

DOI: 10.1007/s10957-010-9757-3

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 ().