Kybernetika 53 no. 4, 717-729, 2017

Derivatives of Hadamard type in scalar constrained optimization

Karel PastorDOI: 10.14736/kyb-2017-4-0717

Abstract:

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.

Keywords:

${\ell }$-stable function, generalized second-order derivative, optimality conditions, $C^{1;1}$-function

Classification:

49K10, 49J52

paper.pdf

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