Coderivatives of normal cone mappings and Lipschitzian stability of parametric variational inequalities
From MaRDI portal
Publication:988877
DOI10.1016/j.na.2010.06.007zbMath1201.49014OpenAlexW2090990566MaRDI QIDQ988877
Publication date: 19 August 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2010.06.007
reflexive Banach spacesparametric variational inequalitiescoderivativespolyhedral setsgeneralized differentiationLipschitzian stabilityvariational analysis and optimization
Sensitivity, stability, well-posedness (49K40) Nonsmooth analysis (49J52) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Optimality conditions for problems in abstract spaces (49K27)
Related Items
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 ⋮ A note on Lipschitzian stability of variational inequalities over perturbed polyhedral convex sets ⋮ Stability of generalized equations under nonlinear perturbations ⋮ Lipschitzian stability of parametric variational inequalities over generalized polyhedra in Banach 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 ⋮ Second order analysis for robust inclusion systems and applications ⋮ Globally convergent coderivative-based generalized Newton methods in nonsmooth optimization ⋮ 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 ⋮ 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 ⋮ Lipschitzian stability of parametric variational inequalities over perturbed polyhedral convex sets ⋮ New results on linearly perturbed polyhedral normal cone mappings ⋮ Linearly perturbed generalized polyhedral normal cone mappings and applications ⋮ The Lipschitz properties of the value function and the solution map to a parametric discrete optimal control problem ⋮ Full Stability in Finite-Dimensional Optimization ⋮ Partial Second-Order Subdifferentials in Variational Analysis and Optimization
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonsmooth analysis
- On \(M\)-stationary points for a stochastic equilibrium problem under equilibrium constraints in electricity spot market modeling.
- On the co-derivative of normal cone mappings to inequality systems
- Maximum principle in the problem of time optimal response with nonsmooth constraints
- Coderivative calculations related to a parametric affine variational inequality. I: Basic calculations
- Techniques of variational analysis
- Coderivative calculus and metric regularity for constraint and variational systems
- Second-Order Analysis of Polyhedral Systems in Finite and Infinite Dimensions with Applications to Robust Stability of Variational Inequalities
- Coderivative Analysis of Quasi‐variational Inequalities with Applications to Stability and Optimization
- A Short Algebraic Proof of the Farkas Lemma
- Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
- Variational Analysis
- Metric regularity and subdifferential calculus
- Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets
- Finite-Dimensional Variational Inequalities and Complementarity Problems