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

Nguyen Mau Nam

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




Related Items

Coderivatives of implicit multifunctions and stability of variational systemsHigher-order set-valued Hadamard directional derivatives: calculus rules and sensitivity analysis of equilibrium problems and generalized equationsA note on Lipschitzian stability of variational inequalities over perturbed polyhedral convex setsStability of generalized equations under nonlinear perturbationsLipschitzian stability of parametric variational inequalities over generalized polyhedra in Banach spacesSolution stability of a linearly perturbed constraint system and applicationsGeneralized differentiation of a class of normal cone operators and sensitivity of optimal control problemsSecond order analysis for robust inclusion systems and applicationsGlobally convergent coderivative-based generalized Newton methods in nonsmooth optimizationNonlinear perturbations of polyhedral normal cone mappings and affine variational inequalitiesThe Mordukhovich coderivative and the local metric regularity of the solution map to a parametric discrete optimal control problemLinearly perturbed polyhedral normal cone mappings and applicationsExact formulae for coderivatives of normal cone mappings to perturbed polyhedral convex setsSensitivity analysis of a stationary point set map under total perturbations. I: Lipschitzian stabilityGeneralized differentiation of a class of normal cone operatorsLipschitzian stability of parametric variational inequalities over perturbed polyhedral convex setsNew results on linearly perturbed polyhedral normal cone mappingsLinearly perturbed generalized polyhedral normal cone mappings and applicationsThe Lipschitz properties of the value function and the solution map to a parametric discrete optimal control problemFull Stability in Finite-Dimensional OptimizationPartial Second-Order Subdifferentials in Variational Analysis and Optimization



Cites Work