Sensitivity Analysis of a Stationary Point Set Map Under Total Perturbations. Part 1: Lipschitzian Stability

By applying some theorems of Levy and Mordukhovich (Math Program 99:311–327, 2004 ) and other related results, we estimate the Fréchet coderivative and the Mordukhovich coderivative of the stationary point set map of a smooth parametric optimization problem with one smooth functional constraint unde...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 180; no. 1; pp. 91 - 116
Main Authors:	Huyen, Duong Thi Kim, Yao, Jen-Chih, Yen, Nguyen Dong
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.01.2019 Springer Nature B.V
Subjects:	Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Engineering Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Sensitivity analysis Theory of Computation 90C31 90C20 Lipschitz-like property 49J53 49K40 Coderivative Smooth functional constraint Smooth parametric optimization problem Stationary point set map
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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