Coderivatives of a Karush-Kuhn-Tucker point set map and applications

DOI10.1016/j.na.2013.09.007zbMath1282.90187OpenAlexW1963675374MaRDI QIDQ2637014

Nguyen Dong Yen, Gue Myung Lee

Publication date: 18 February 2014

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.2013.09.007

zbMATH Keywords

normal conecoderivativelocal Lipschitz-like propertytrust-region subproblemKKT point set map

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Related Items (14)

Coderivatives of implicit multifunctions and stability of variational systems ⋮ Stability of generalized equations under nonlinear perturbations ⋮ Variational inequalities over Euclidean balls ⋮ Second order analysis for robust inclusion systems and applications ⋮ 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 ⋮ Coderivatives related to parametric extended trust region subproblem and their applications ⋮ Generalized differentiation of a class of normal cone operators ⋮ Stability for trust-region methods via generalized differentiation ⋮ Coderivatives and the Solution Map of a Linear Constraint System ⋮ Second order variational analysis of disjunctive constraint sets and its applications to optimization problems

Cites Work

• Behavior of DCA sequences for solving the trust-region subproblem
• Convergence of Pham Dinh-Le Thi's algorithm for the trust-region subproblem
• Fréchet and normal coderivatives of implicit multifunctions
• Local Minimizers of Quadratic Functions on Euclidean Balls and Spheres
• Variational Analysis
• On Some Properties of Quadratic Programs with a Convex Quadratic Constraint
• A D.C. Optimization Algorithm for Solving the Trust-Region Subproblem
• Stability of Linear-Quadratic Minimization over Euclidean Balls
• Second-Order Subdifferential Calculus with Applications to Tilt Stability in Optimization

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