Some iterative methods for nonconvex variational inequalities
type: Item
instance of: scholarly article
title: Some iterative methods for nonconvex variational inequalities
zbMATH Open document ID: 1201.65114
published in: Computational Mathematics and Modeling
publication date: 2010-09-22T00:00:00Z
review text: For a given nonlinear operator \(T\), the problem of finding \(u\in K\), \(\langle Tu, v- u\rangle\geq 0\), \(\forall v\in K_r\) is called the nonconvex variational inequality. This problem is equivalentto finding \(u\in K\), such that \(0\in Tu+ N^P_{K_r}(u)\). Using this equivalent alternative formulation, a new class of two-step iterative methods is discussed. Furthermore, a new class of Wiener-Hopf equations is introduced and the equivalence between this class and the nonconvex variational inequalities is established and some iterative methods are proposed.
Mathematics Subject Classification ID: 65K15
zbMATH DE Number: 5790043
author: Muhammad Aslam Noor
reviewed by: Hans Benker
MaRDI profile type: Publication
full work available at URL: s10598-010-9057-7
OpenAlex ID: W1979401691
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DOI: 10.1007/S10598-010-9057-7
description: scientific article; zbMATH DE number 5790043