Differential stability in infinite-dimensional nonlinear programming

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1980 English Publisher:Springer Science and Business Media LLCJournal:Applied Mathematics & Optimization, volume 6, pages 139-152 (issn: 0095-4616, eissn: 1432-0606,

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Authors: Lempio, F.; Maurer, H.;

doi: 10.1007/bf01442889

Differential stability in infinite-dimensional nonlinear programming

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Abstract

In this paper stability properties of the extremal value function are studied for infinite-dimensional nonlinear optimization problems with differentiable perturbations in the objective function and in the constraints. In particular, upper and lower bounds for the directional derivative of the extremal value function as well as necessary and sufficient conditions for the existence of the directional derivative are given.

Related Organizations

University of Bayreuth
Germany
University of Münster
Germany

Keywords

Stability of control systems, Nonlinear programming, infinite-dimensional nonlinear programming, differentiable perturbations in the objective function, Sensitivity, stability, parametric optimization, necessary and sufficient conditions, differential stability, existence of the directional derivative, differential perturbations in the constraints

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