Algorithms for a class of bilevel programs involving pseudomonotone variational inequalities
type: Item
instance of: scholarly article
title: Algorithms for a class of bilevel programs involving pseudomonotone variational inequalities
zbMATH Open document ID: 1306.49053
author: Le Dung Muu
author: Bui Van Dinh
published in: Acta Mathematica Vietnamica
publication date: 2015-01-21T00:00:00Z
Mathematics Subject Classification ID: 49M37
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 90C26
Mathematics Subject Classification ID: 65K15
zbMATH DE Number: 6388859
zbMATH Keywords: bilevel variational inequality
zbMATH Keywords: pseudomonotonicity
zbMATH Keywords: projection method
zbMATH Keywords: Armijo linesearch
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s40306-013-0032-1
OpenAlex ID: W1979277516
cites work: An extragradient algorithm for solving bilevel pseudomonotone variational inequalities
cites work: Convex analysis and monotone operator theory in Hilbert spaces
cites work: Iterative methods for triple hierarchical variational inequalities in Hilbert spaces
cites work: An iterative row-action method for interval convex programming
cites work: Auxiliary problem principle extended to variational inequalities
cites work: Auxiliary principle and algorithm for mixed equilibrium problems and bilevel mixed equilibrium problems in Banach spaces
cites work: On penalty and gap function methods for bilevel equilibrium problems
cites work: Finite-Dimensional Variational Inequalities and Complementarity Problems
cites work: Explicit hierarchical fixed point approach to variational inequalities
cites work: Tikhonov regularization algorithm for pseudomonotone variational inequalities
cites work: The Tikhonov regularization extended to equilibrium problems involving pseudomonotone bifunctions
cites work: A variant of korpelevich’s method for variational inequalities with a new search strategy
cites work: Solving two-level variational inequality
cites work: Combined relaxation methods for variational inequalities
cites work: Q4110807
cites work: Exact penalization and stationarity conditions of mathematical programs with equilibrium constraints
cites work: Projected subgradient techniques and viscosity methods for optimization with variational inequality constraints
cites work: Gap functions for equilibrium problems
cites work: Proximal methods for a class of bilevel monotone equilibrium problems
cites work: Extragradient algorithms extended to equilibrium problems¶
cites work: Convergence of an adaptive penalty scheme for finding constrained equilibria
cites work: Extragradient methods for pseudomonotone variational inequalities
cites work: Solution methods for pseudomonotone variational inequalities
cites work: A New Projection Method for Variational Inequality Problems
cites work: Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
cites work: Hybrid Steepest Descent Method for Variational Inequality Problem over the Fixed Point Set of Certain Quasi-nonexpansive Mappings
cites work: Minimization of equilibrium problems, variational inequality problems and fixed point problems
DOI: 10.1007/S40306-013-0032-1
description: scientific article; zbMATH DE number 6388859