Coderivative calculations related to a parametric affine variational inequality. I: Basic calculations

Publication date: 3 August 2009

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

linear perturbations solution map Aubin property normal coderivative parametric affine variational inequality local metric regularity in Robinson's sense pseudo-face

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational inequalities (49J40) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)

Related Items (20)

Coderivatives of implicit multifunctions and stability of variational systems ⋮ Higher-order set-valued Hadamard directional derivatives: calculus rules and sensitivity analysis of equilibrium problems and generalized equations ⋮ Stability of generalized equations under nonlinear perturbations ⋮ Affine variational inequalities on normed spaces ⋮ Lipschitzian stability of parametric variational inequalities over generalized polyhedra in Banach spaces ⋮ Solution stability of a linearly perturbed constraint system and applications ⋮ Generalized damped Newton algorithms in nonsmooth optimization via second-order subdifferentials ⋮ Globally convergent coderivative-based generalized Newton methods in nonsmooth optimization ⋮ Nonlinear perturbations of polyhedral normal cone mappings and affine variational inequalities ⋮ Generalized differentiation of piecewise linear functions in second-order variational analysis ⋮ Variational Convexity of Functions and Variational Sufficiency in Optimization ⋮ Linearly perturbed polyhedral normal cone mappings and applications ⋮ Exact formulae for coderivatives of normal cone mappings to perturbed polyhedral convex sets ⋮ Sensitivity analysis of a stationary point set map under total perturbations. I: Lipschitzian stability ⋮ Generalized differentiation of a class of normal cone operators ⋮ Relationships between Robinson metric regularity and Lipschitz-like behavior of implicit multifunctions ⋮ Lipschitzian stability of parametric variational inequalities over perturbed polyhedral convex sets ⋮ New results on linearly perturbed polyhedral normal cone mappings ⋮ Coderivatives of normal cone mappings and Lipschitzian stability of parametric variational inequalities ⋮ Coderivatives and the Solution Map of a Linear Constraint System

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