Derivatives of Hadamard type in scalar constrained optimization

Karel Pastor

Kybernetika (2017)

  • Volume: 53, Issue: 4, page 717-729
  • ISSN: 0023-5954

Abstract

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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 ℓ -stable at feasible point functions. Then we show the advantages of obtained results with respect to the previously obtained results.

How to cite

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Pastor, Karel. "Derivatives of Hadamard type in scalar constrained optimization." Kybernetika 53.4 (2017): 717-729. <http://eudml.org/doc/294611>.

@article{Pastor2017,
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.},
author = {Pastor, Karel},
journal = {Kybernetika},
keywords = {$C^\{1;1\}$–function; $\{\ell \}$–stable function; generalized second-order derivative; optimality conditions},
language = {eng},
number = {4},
pages = {717-729},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Derivatives of Hadamard type in scalar constrained optimization},
url = {http://eudml.org/doc/294611},
volume = {53},
year = {2017},
}

TY - JOUR
AU - Pastor, Karel
TI - Derivatives of Hadamard type in scalar constrained optimization
JO - Kybernetika
PY - 2017
PB - Institute of Information Theory and Automation AS CR
VL - 53
IS - 4
SP - 717
EP - 729
AB - 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.
LA - eng
KW - $C^{1;1}$–function; ${\ell }$–stable function; generalized second-order derivative; optimality conditions
UR - http://eudml.org/doc/294611
ER -

References

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