New results on linearly perturbed polyhedral normal cone mappings

DOI10.1016/j.jmaa.2011.02.006zbMath1369.49017OpenAlexW2049328160MaRDI QIDQ541261

Nguyen Thanh Qui

Publication date: 6 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.02.006

zbMATH Keywords

estimatesperturbed polyhedral convex setFréchet coderivativeMordukhovich coderivativenormal cone mapping

Mathematics Subject Classification ID

Nonsmooth analysis (49J52)

Related Items (14)

Coderivatives of implicit multifunctions and stability of variational systems ⋮ Stability of generalized equations under nonlinear perturbations ⋮ Affine variational inequalities on normed spaces ⋮ Solution stability of a linearly perturbed constraint system and applications ⋮ Generalized differentiation of a class of normal cone operators and sensitivity of optimal control problems ⋮ Nonlinear perturbations of polyhedral normal cone mappings and affine variational inequalities ⋮ The Mordukhovich coderivative and the local metric regularity of the solution map to a parametric discrete optimal control problem ⋮ 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 ⋮ Coderivatives related to parametric extended trust region subproblem and their applications ⋮ Generalized differentiation of a class of normal cone operators ⋮ Linearly perturbed generalized polyhedral normal cone mappings and applications ⋮ Coderivatives and the Solution Map of a Linear Constraint System ⋮ The Lipschitz properties of the value function and the solution map to a parametric discrete optimal control problem

Cites Work

• Unnamed Item
• Linearly perturbed polyhedral normal cone mappings and applications
• Upper and lower estimates for a Fréchet normal cone
• Coderivatives of normal cone mappings and Lipschitzian stability of parametric variational inequalities
• Coderivative calculations related to a parametric affine variational inequality. I: Basic calculations
• Second-Order Analysis of Polyhedral Systems in Finite and Infinite Dimensions with Applications to Robust Stability of Variational Inequalities
• A Short Algebraic Proof of the Farkas Lemma
• Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets
• On the locally uniform openness of polyhedral sets

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