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Second-order optimality conditions for the extremal problem under inclusion constraints

Second-order optimality conditions for the extremal problem under inclusion constraints In this paper we establish second-order necessary and sufficient conditions for the problem of minimizing a functionf on the solution set of an inclusion 0∈F(x) wheref and the support function of set-valued mapF areC 1,1-functions, i.e., functions whose gradient mapping is locally Lipschitz. Our results generalize those obtained by Hiriart-Urruty and others. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Second-order optimality conditions for the extremal problem under inclusion constraints

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References (9)

Publisher
Springer Journals
Copyright
Copyright © 1989 by Springer-Verlag New York Inc
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/BF01447647
Publisher site
See Article on Publisher Site

Abstract

In this paper we establish second-order necessary and sufficient conditions for the problem of minimizing a functionf on the solution set of an inclusion 0∈F(x) wheref and the support function of set-valued mapF areC 1,1-functions, i.e., functions whose gradient mapping is locally Lipschitz. Our results generalize those obtained by Hiriart-Urruty and others.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Mar 26, 2005

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