Strong stability implies Mangasarian–Fromovitz Constraint Qualification

DOI10.1080/02331930600808301zbMath1134.90495OpenAlexW2004620034MaRDI QIDQ3426236

Hubertus Th. Jongen, Harald Günzel

Publication date: 8 March 2007

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930600808301

zbMATH Keywords

nonlinear optimizationstrong stabilityMangasarian-Fromovitz constraint qualification

Mathematics Subject Classification ID

Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31)

Related Items

MPCC: strongly stable C-stationary points when the number of active constraints is n + 1, Strongly Stable Stationary Points for a Class of Generalized Equations, MPCC: on necessary conditions for the strong stability of C-stationary points, Strongly stable C-stationary points for mathematical programs with complementarity constraints

Cites Work

• Nonlinear optimization: Characterization of structural stability
• Lipschitzian inverse functions, directional derivatives, and applications in \(C^{1,1}\) optimization
• Strong stability of stationary solutions and Karush-Kuhn-Tucker points in nonlinear optimization
• Critical sets in parametric optimization
• On stability and stationary points in nonlinear optimization