Predictor-corrector methods for general mixed quasi variational inequalities
type: Item
instance of: scholarly article
title: Predictor-corrector methods for general mixed quasi variational inequalities
zbMATH Open document ID: 1069.65071
author: Khalida Inayat Noor
author: Kamel Al-Khaled
author: Muhammad Aslam Noor
published in: Applied Mathematics and Computation
publication date: 2004-11-23T00:00:00Z
review text: The authors study a hybrid variational-like inequality which involves nonlinear mappings and a bi-function in Hilbert spaces. They suggest a family of fixed point type iterative algorithms based on an auxiliary problem technique for finding its solution. Instead of strong monotonicity or co-coercivity assumptions on the cost mapping, an intermediate concept of a partially relaxed strongly monotone mapping is utilized; see \textit{R. U.~Verma} [Adv. Nonlinear Var. Inequal. 2, No. 2, 137--148 (1999; Zbl 1007.49518)]. A weak convergence result is also given.
reviewed by: Igor V. Konnov
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49M30
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 2117752
zbMATH Keywords: mixed equilibrium problems
zbMATH Keywords: resolvent equations
zbMATH Keywords: fixed point algorithms
zbMATH Keywords: Hilbert spaces
zbMATH Keywords: variational inequalities
zbMATH Keywords: iterative methods
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: j.amc.2003.08.060
OpenAlex ID: W2067899526
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DOI: 10.1016/J.AMC.2003.08.060
description: scientific article; zbMATH DE number 2117752