Geodesic
Derivatives of Hadamard type in scalar constrained optimization
Kybernetika, Tome 53 (2017) no. 4, pp. 717-729.

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Vsevolod I. Ivanov stated (Nonlinear Analysis 125 (2015), 270-289) the general second-order optimality condition for the constrained vector problem in terms of Hadamard derivatives. We will consider its special case for a scalar problem and show some corollaries for example for ${\ell}$-stable at feasible point functions. Then we show the advantages of obtained results with respect to the previously obtained results.
DOI : 10.14736/kyb-2017-4-0717
Classification : 49J52, 49K10
Keywords: $C^{1;1}$–function; ${\ell }$–stable function; generalized second-order derivative; optimality conditions 
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Pastor, Karel. Derivatives of Hadamard type in scalar constrained optimization. Kybernetika, Tome 53 (2017) no. 4, pp. 717-729. doi : 10.14736/kyb-2017-4-0717. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-4-0717/

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