Stability of Locally Optimal Solutions
A. B. Levy, R. A. Poliquin, R. TYRRELL ROCKAFELLAR · SIAM Journal on Optimization · 2000
Necessary and sufficient conditions are obtained for the Lipschitzian stability of local solutions to finite-dimensional parameterized optimization problems in a very general setting. Properties of prox-regularity of the essential objective function and positive definiteness of its coderivative Hessian are the keys to these results. A previous characterization of tilt stability arises as a special case.