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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.
Applied Mathematics and Optimization – Springer Journals
Published: Mar 26, 2005
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