Extragradient methods for pseudomonotone variational inequalities
type: Item
instance of: scholarly article
title: Extragradient methods for pseudomonotone variational inequalities
zbMATH Open document ID: 1049.49009
DOI: 10.1023/A:1023989403613
author: Muhammad Aslam Noor
published in: Journal of Optimization Theory and Applications
publication date: 2003-10-29T00:00:00Z
review text: One of the most known approaches for constructing projection-based methods converging to a solution of a variational inequality under generalized monotonicity consists in incorporating a predictor step for computing parameters of a separating hyperplane and for providing the the Fejér-monotone convergence. This approach is also known as combined relaxation; see [\textit{I. V.~Konnov}, Russ. Math. 37, No. 2, 44--51 (1993); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1993, No. 2, 46--53 (1993; Zbl 0835.90123)] and can be extended in several directions; e.g. [\textit{N.Xiu} and \textit{J.~Zhang}, J. Comput. Appl. Math. 152, No.1--2, 559--585 (2003; Zbl 1018.65083)]. The author presents such a method, which uses a modified linesearch procedure and possesses similar convergence properties.
reviewed by: Igor V. Konnov
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 1997768
zbMATH Keywords: variational inequalities
zbMATH Keywords: relaxation methods
zbMATH Keywords: projection methods
zbMATH Keywords: inertial proximal methods
zbMATH Keywords: convergence
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1997768