Coderivatives and the Solution Map of a Linear Constraint System
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Publication:2804208
DOI10.1137/140998469zbMath1337.49024OpenAlexW2339280273MaRDI QIDQ2804208
Duong Thi Kim Huyen, Nguyen Dong Yen
Publication date: 28 April 2016
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/140998469
linear complementarity problemcoderivativemetric regularityLipschitz-like propertyaffine variational inequalitysolution mapuniform local error boundfull rank conditionparametric linear constraint system
Sensitivity, stability, well-posedness (49K40) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Related Items (11)
Affine variational inequalities on normed spaces ⋮ Solution stability of a linearly perturbed constraint system and applications ⋮ On the stability and solution sensitivity of a consumer problem ⋮ Projectional coderivatives and calculus rules ⋮ Lipschitz-like property for linear constraint systems ⋮ Relative Lipschitz-like Property of Parametric Systems via Projectional Coderivatives ⋮ Sensitivity analysis of a stationary point set map under total perturbations. I: Lipschitzian stability ⋮ Sensitivity analysis of a stationary point set map under total perturbations. II: Robinson stability ⋮ Lipschitz-like property relative to a set and the generalized Mordukhovich criterion ⋮ Quantitative Analysis for Perturbed Abstract Inequality Systems in Banach Spaces ⋮ The stationary point set map in general parametric optimization problems
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