New approach to solving a system of variational inequalities and hierarchical problems
type: Item
instance of: scholarly article
title: New approach to solving a system of variational inequalities and hierarchical problems
zbMATH Open document ID: 1159.49016
author: Paul-Emile Maingé
published in: Journal of Optimization Theory and Applications
publication date: 2009-04-24T00:00:00Z
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 93A13
zbMATH DE Number: 5547273
zbMATH Keywords: fixed points
zbMATH Keywords: system of variational inequalities
zbMATH Keywords: Nash stationary points
zbMATH Keywords: hierarchical problems
zbMATH Keywords: subgradient projection
MaRDI profile type: Publication
full work available at URL: s10957-008-9433-z
OpenAlex ID: W2080161978
cites work: A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces
cites work: Hybrid Steepest Descent Method for Variational Inequality Problem over the Fixed Point Set of Certain Quasi-nonexpansive Mappings
cites work: Proximal Point Algorithm Controlled by a Slowly Vanishing Term: Applications to Hierarchical Minimization
cites work: Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings
cites work: Q5440938
cites work: Q5296429
cites work: Q4409551
cites work: Convergence of hybrid steepest-descent methods for variational inequalities
cites work: Convergence analysis of modified hybrid steepest-descent methods with variable parameters for variational inequalities
cites work: Projection methods, algorithms, and a new system of nonlinear variational inequalities
cites work: General convergence analysis for two-step projection methods and applications to variational problems
cites work: Generalized system for relaxed cocoercive variational inequalities and projection methods
cites work: Factorization of Minty and Stampacchia variational inequality systems
cites work: Q4953932
cites work: On a one-stage method for solving lexicographic variational inequalities
cites work: Convex analysis \& approximation of fixed points
cites work: Nonlinear functional analysis. Fixed point theory and its applications
cites work: Solution methods for variational inequalities with coupled constraints
cites work: The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
cites work: Approximation of fixed points of nonexpansive mappings
cites work: Approximation of fixed points of a strictly pseudocontractive mapping
cites work: Q3998720
cites work: The Solution by Iteration of Nonlinear Equations in Hilbert Spaces
cites work: A new system of generalized nonlinear relaxed cocoercive variational inequalities
cites work: A sufficient and necessary condition for Halpern-type strong convergence to fixed points of nonexpansive mappings
DOI: 10.1007/S10957-008-9433-Z
description: scientific article; zbMATH DE number 5547273