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

M. Durea ()
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M. Durea: “Al. I. Cuza” University

Journal of Optimization Theory and Applications, 2007, vol. 133, issue 1, No 8, 116 pages

Abstract: 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.

Keywords: Bouligand tangent cone; Set-valued maps; Derivatives; Optimality conditions (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-007-9179-z

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