Characterizations of Lipschitzian Stability in Nonlinear Programming
Asen L. Dontchev, R. T. Rockafellar
Abstract
Nonlinear programming problems are analyzed for Lipschitz and upper-Lipschitz behavior of their solutions and stationary points under general perturbations. Facts from a diversity of sources are put together to obtain new characterizations of several local stability properties.
Topics & Concepts
Nonlinear systemStability (learning theory)MathematicsApplied mathematicsComputer scienceCalculus (dental)Mathematical optimizationPhysicsMedicineMachine learningDentistryQuantum mechanicsOptimization and Variational AnalysisAdvanced Optimization Algorithms ResearchNonlinear Differential Equations Analysis