A Proof of the Necessity of Linear Independence Condition and Strong Second-Order Sufficient Optimality Condition for Lipschitzian Stability in Nonlinear Programming |
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Authors: | Dontchev A. L. |
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Affiliation: | (1) Mathematical Reviews, Ann Arbor, Michigan |
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Abstract: | For a nonlinear programming problem with a canonical perturbations, we give an elementary proof of the following result: If the Karush–Kuhn–Tucker map is locally single-valued and Lipschitz continuous, then the linear independence condition for the gradients of the active constraints and the strong second-order sufficient optimality condition hold. |
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Keywords: | Lipschitzian stability strong regularity perturbations nonlinear programming |
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