descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1976 English Publisher:Institute for Operations Research and the Management Sciences (INFORMS)Journal:Operations Research, volume 24, pages 462-476 (issn: 0030-364X, eissn: 1526-5463,

Authors: Stern, Michael H.; Topkis, Donald M.;

doi: 10.1287/opre.24.3.462

Rates of Stability in Nonlinear Programming

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Abstract

We give conditions on a nonlinear programming problem for the set of feasible solutions to have stability on the order of a Lipschitz condition. These results then imply conditions for the optimal value of the objective function to satisfy a Lipschitz condition with respect to the right-hand side vector as well as for the set of ϵ-optimal solutions to have stability on the order of a Lipschitz condition. Results are obtained both with and without convexity assumptions.

Related Organizations

Hebrew University of Jerusalem
Israel

Keywords

Nonlinear programming, Sensitivity, stability, well-posedness

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