Boukhari, A.E. (1997) Explicit determination of a contingent cone; Application to optimization Détermination explicite du cône contingent; application à l'optimisation. Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, 325 (8). pp. 831-833.

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A simple algebraic condition on the intrinsic derivative δ2 f (a) of a differentiable map f at a point a is shown to ensure identification between the contingent cone at a of the level surface W of f through a and the null cone of Δ2 f (a). We exploit this fact in order to find necessary optimality conditions of first and second orders for a différentiable functional J on W at a. © 1997 Académie des Sciences/Éditions scientifiques et médicales Elsevier, Paris.

Item Type: Article
Subjects: Mathematics
Divisions: SCIENTIFIC PRODUCTION > Mathematics
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Last Modified: 31 Jan 2020 15:49

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