Solution sensitivity of variational inequalities

DOI10.1006/jmaa.1998.6193zbMath0927.49005OpenAlexW2043188326MaRDI QIDQ1283026

András Domokos

Publication date: 13 December 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/076cef99d7f0fbd5b15bca0005d9ada7a68e8abc

zbMATH Keywords

variational inequalitiessensitivity analysisimplicit function theorem

Mathematics Subject Classification ID

Variational inequalities (49J40)

Related Items (19)

On nonlinear parametric variational inequalities ⋮ Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems ⋮ Stability analysis for Minty mixed variational inequality in reflexive Banach spaces ⋮ Semicontinuity of the solution multifunctions of the parametric generalized operator equilibrium problems ⋮ Smooth dependence on parameters of solutions and contact regions for an obstacle problem. ⋮ Upper semicontinuity result for the solution mapping of a mixed parametric generalized vector quasiequilibrium problem with moving cones ⋮ Hölder continuity of a parametric generalized variational inequality ⋮ Lower semicontinuity for parametric weak vector variational inequalities in reflexive Banach spaces ⋮ Lower semicontinuity and upper semicontinuity of the solution sets and approximate solution sets of parametric multivalued quasivariational inequalities ⋮ On the solution stability of variational inequalities ⋮ Stability analysis for variational inequality in reflexive Banach spaces ⋮ Sensitivity analysis for abstract equilibrium problems ⋮ Upper semicontinuity of the solution set to parametric vector quasivariational inequalities ⋮ Localization of generalized normal maps and stability of variational inequalities in reflexive Banach spaces ⋮ Sensitivity of solutions to a parametric generalized equation ⋮ Lower semicontinuity of the solution map to a parametric generalized variational inequality in reflexive Banach spaces ⋮ Stability for differential mixed variational inequalities ⋮ Sensitivity results for a general class of generalized vector quasi-equilibrium problems with set-valued maps ⋮ Smooth continuation of solutions and eigenvalues for variational inequalities based on the implicit function theorem.

Cites Work

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• A characterization of uniform convexity and applications to accretive operators
• Sensitivity analysis of generalized variational inequalities
• Solution sensitivity of a class of variational inequalities
• Hölder continuity of solutions to a parametric variational inequality
• Implicit function theorems and nonlinear integral equations
• Sensitivity Analysis in Variational Inequalities
• Lipschitz Continuity of Solutions of Variational Inequalities with a Parametric Polyhedral Constraint
• Quantitative Stability of Variational Systems II. A Framework for Nonlinear Conditioning
• Set-valued analysis

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