Continuity of the solution map in parametric affine variational inequalities

DOI10.1007/s11228-006-0039-zzbMath1119.49010OpenAlexW2039410076MaRDI QIDQ2642978

Nguyen Dong Yen, Nguyen Nang Tam, Gue Myung Lee

Publication date: 6 September 2007

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-006-0039-z

zbMATH Keywords

Lagrange multiplierupper semicontinuitylower semicontinuitysolution mapparametric affine variational inequality

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued and variational analysis (49J53)

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Cites Work

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• Continuity of the solution map in quadratic programs under linear perturbations
• Lower semicontinuity of the KKT point set in quadratic programs under linear perturbations
• Implicit function theorems for set-valued maps
• Continuity properties of the Karush-Kuhn-Tucker point set in quadratic programming problems
• Continuity of the optimal value function in indefinite quadratic programming
• On the Lipschitzian properties of polyhedral multifunctions
• Sufficient conditions for the stability of the karush- kuhn - tucker point set in quadratic programming
• Lipschitz Behavior of Solutions to Convex Minimization Problems
• Robustness and nondegenerateness for linear complementarity problems
• Strongly Regular Generalized Equations
• Some continuity properties of polyhedral multifunctions
• On the Continuity of the Solution Map in Linear Complementarity Problems
• Stability Theory for Systems of Inequalities. Part I: Linear Systems
• A Characterization of Stability in Linear Programming
• Generalized equations and their solutions, Part I: Basic theory
• On the Boundedness and Stability of Solutions to the Affine Variational Inequality Problem
• Stability Analysis of Variational Inequalities and Nonlinear Complementarity Problems, via the Mixed Linear Complementarity Problem and Degree Theory
• Lipschitz Continuity of Solutions of Linear Inequalities, Programs and Complementarity Problems
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Convex Analysis
• Set-valued analysis