First and Second-Order Lagrange Claims for Set-Valued Maps |
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| Authors: | M. Durea |
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| Affiliation: | (1) Faculty of Mathematics, “Al. I. Cuza” University, Iaşi, Romania |
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| Abstract: | In this note, we derive first and second-order necessary (resp. sufficient) conditions for local minimum (resp. strict local minimum) points of optimization problems governed by set-valued maps. This allows us to present and to solve a generalized Lagrange claim in a multivalued setting. |
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| Keywords: | Bouligand tangent cone Set-valued maps Derivatives Optimality conditions |
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