Decrease of C1,1 property in vector optimization

Dušan Bednařík; Karel Pastor

RAIRO - Operations Research (2009)

  • Volume: 43, Issue: 4, page 359-372
  • ISSN: 0399-0559

Abstract

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In the paper we generalize sufficient and necessary optimality conditions obtained by Ginchev, Guerraggio, Rocca, and by authors with the help of the notion of ℓ-stability for vector functions.

How to cite

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Bednařík, Dušan, and Pastor, Karel. "Decrease of C1,1 property in vector optimization." RAIRO - Operations Research 43.4 (2009): 359-372. <http://eudml.org/doc/250629>.

@article{Bednařík2009,
abstract = { In the paper we generalize sufficient and necessary optimality conditions obtained by Ginchev, Guerraggio, Rocca, and by authors with the help of the notion of ℓ-stability for vector functions. },
author = {Bednařík, Dušan, Pastor, Karel},
journal = {RAIRO - Operations Research},
keywords = {C1,1 function; ℓ-stable function; generalized second-order directional derivative; Dini derivative; weakly efficient minimizer; isolated minimizer of second-order.; function; -stable function; generalized second-order directional derivative; isolated minimizer of second-order},
language = {eng},
month = {10},
number = {4},
pages = {359-372},
publisher = {EDP Sciences},
title = {Decrease of C1,1 property in vector optimization},
url = {http://eudml.org/doc/250629},
volume = {43},
year = {2009},
}

TY - JOUR
AU - Bednařík, Dušan
AU - Pastor, Karel
TI - Decrease of C1,1 property in vector optimization
JO - RAIRO - Operations Research
DA - 2009/10//
PB - EDP Sciences
VL - 43
IS - 4
SP - 359
EP - 372
AB - In the paper we generalize sufficient and necessary optimality conditions obtained by Ginchev, Guerraggio, Rocca, and by authors with the help of the notion of ℓ-stability for vector functions.
LA - eng
KW - C1,1 function; ℓ-stable function; generalized second-order directional derivative; Dini derivative; weakly efficient minimizer; isolated minimizer of second-order.; function; -stable function; generalized second-order directional derivative; isolated minimizer of second-order
UR - http://eudml.org/doc/250629
ER -

References

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