Affine variational inequalities on normed spaces
type: Item
instance of: scholarly article
title: Affine variational inequalities on normed spaces
zbMATH Open document ID: 1400.49010
author: Nguyen Dong Yen
author: Xiao Qi Yang
published in: Journal of Optimization Theory and Applications
publication date: 2018-09-04T00:00:00Z
review text: The authors present some results for infinite-dimensional affine variational inequalities on normed spaces related to the Lagrange multiplier rule and the solution set decomposition.
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49J50
Mathematics Subject Classification ID: 49K40
Mathematics Subject Classification ID: 90C20
Mathematics Subject Classification ID: 90C29
zbMATH DE Number: 6931880
zbMATH Keywords: infinite-dimensional affine variational inequality
zbMATH Keywords: infinite-dimensional quadratic programming
zbMATH Keywords: infinite-dimensional linear fractional vector optimization
zbMATH Keywords: generalized polyhedral convex set
zbMATH Keywords: solution set
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
full work available at URL: s10957-018-1296-3
OpenAlex ID: W2800286905
cites work: The Linear Complementarity Problem
cites work: On the Boundedness and Stability of Solutions to the Affine Variational Inequality Problem
cites work: Quadratic programming and affine variational inequalities. A qualitative study.
cites work: Stability of the linear complementarity problem at a solution point
cites work: Tolerance approach to sensitivity analysis in linear complementarity problems
cites work: On the Continuity of the Solution Map in Linear Complementarity Problems
cites work: On Solution Stability of the Linear Complementarity Problem
cites work: On continuity properties of the solution map in linear complementarity problems.
cites work: A geometrical approach to the linear complementarity problem
cites work: Continuity of the solution map in parametric affine variational inequalities
cites work: Solution Continuity in Monotone Affine Variational Inequalities
cites work: Variational Inequalities over Perturbed Polyhedral Convex Sets
cites work: Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets
cites work: Second-Order Analysis of Polyhedral Systems in Finite and Infinite Dimensions with Applications to Robust Stability of Variational Inequalities
cites work: Coderivative calculations related to a parametric affine variational inequality. I: Basic calculations
cites work: Q3183655
cites work: Linearly perturbed polyhedral normal cone mappings and applications
cites work: New results on linearly perturbed polyhedral normal cone mappings
cites work: Nonlinear perturbations of polyhedral normal cone mappings and affine variational inequalities
cites work: A note on Lipschitzian stability of variational inequalities over perturbed polyhedral convex sets
cites work: Coderivatives and the solution map of a linear constraint system
cites work: Error Bound and Convergence Analysis of Matrix Splitting Algorithms for the Affine Variational Inequality Problem
cites work: Error bounds for the linear complementarity problem with a P-matrix
cites work: Q4503250
cites work: Convex composite multi-objective nonsmooth programming
cites work: Conic positive definiteness and sharp minima of fractional orders in vector optimization problems
cites work: Q4194725
cites work: A Short Algebraic Proof of the Farkas Lemma
cites work: Bicriteria linear fractional programming
cites work: Connectedness in Multiple Linear Fractional Programming
cites work: Q3815146
cites work: Q4394781
cites work: Q4495136
cites work: Linear fractional vector optimization problems with many components in the solution sets
cites work: Unbounded components in the solution sets of strictly quasiconcave vector maximization problems
cites work: Monotone affine vector variational inequalities
cites work: Linear Fractional and Convex Quadratic Vector Optimization Problems
cites work: On characterizing the solution sets of pseudolinear programs
cites work: Convex Analysis
cites work: Q3905599
cites work: Q4762241
Wikidata QID: Q129895383
DOI: 10.1007/S10957-018-1296-3
description: scientific article; zbMATH DE number 6931880