A Proof of the Necessity of Linear Independence Condition and Strong Second-Order Sufficient Optimality Condition for Lipschitzian Stability in Nonlinear Programming

A. L. Dontchev
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A. L. Dontchev: Mathematical Reviews

Journal of Optimization Theory and Applications, 1998, vol. 98, issue 2, No 10, 467-473

Abstract: 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.

Keywords: Lipschitzian stability; strong regularity; perturbations; nonlinear programming (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1023/A:1022649803808

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