A modified projection method with a new direction for solving variational inequalities
type: Item
instance of: scholarly article
title: A modified projection method with a new direction for solving variational inequalities
zbMATH Open document ID: 1188.65091
author: Xihong Yan
author: Deren Han
author: Wenyu Sun
published in: Applied Mathematics and Computation
publication date: 2009-06-08T00:00:00Z
review text: Let \(\Omega\subset \mathbb R^n\) be a nonempty closed convex set and \(F:\mathbb R^n\to \mathbb R^n\). The variational inequality problem is to find \(u^*\in\Omega\) such that \(F(u^*)^T (u-u^*)\geq 0\) for all \(u\in\Omega\). A new projection method to solve this problem is proposed which seems to be more efficient than the existing similar methods.
Mathematics Subject Classification ID: 65K15
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49M15
zbMATH DE Number: 5562738
zbMATH Keywords: variational inequalities
zbMATH Keywords: projection methods
zbMATH Keywords: global convergence
reviewed by: Mihail M. Konstantinov
MaRDI profile type: Publication
full work available at URL: j.amc.2009.01.064
OpenAlex ID: W2061900037
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DOI: 10.1016/J.AMC.2009.01.064
description: scientific article; zbMATH DE number 5562738