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First and Second-Order Lagrange Claims for Set-Valued Maps

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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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Correspondence to M. Durea.

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Communicated by F. Giannessi.

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Durea, M. First and Second-Order Lagrange Claims for Set-Valued Maps. J Optim Theory Appl 133, 111–116 (2007). https://doi.org/10.1007/s10957-007-9179-z

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  • DOI: https://doi.org/10.1007/s10957-007-9179-z

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