On the upper Lipschitz property of the KKT mapping for nonlinear semidefinite optimization
Abstract: In this note, we prove that the KKT mapping for nonlinear semidefinite optimization problem is upper Lipschitz continuous at the KKT point, under the second-order sufficient optimality conditions and the strict Robinson constraint qualification.
Keywords: KKT mapping, semidefinite optimization problem, upper Lipschitz continuity, second-order optimality conditions, the strict Robinson constraint qualification.
Category 1: Linear, Cone and Semidefinite Programming (Semi-definite Programming )
Entry Submitted: 07/09/2015
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