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Displaying similar documents to “Hessian measures. II.”

Siegel measures.

Veech, William A. (1998)

Annals of Mathematics. Second Series

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From scalar to vector optimization

Ivan Ginchev, Angelo Guerraggio, Matteo Rocca (2006)

Applications of Mathematics

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Initially, second-order necessary optimality conditions and sufficient optimality conditions in terms of Hadamard type derivatives for the unconstrained scalar optimization problem φ ( x ) → min , x ∈ ℝ m , are given. These conditions work with arbitrary functions φ ℝ m → ℝ ¯ , but they show inconsistency with the classical derivatives. This is a base to pose the question whether the formulated optimality conditions remain true when the “inconsistent” Hadamard derivatives are replaced with the “consistent” Dini derivatives....