l-stable Functions and Constrained Optimization ℓ-устойчиви функции и условна оптимизация
Union of Bulgarian Mathematicians (2010)
- Volume: 39, Issue: 1, page 129-134
- ISSN: 1313-3330
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topGinchev, Ivan. "l-stable Functions and Constrained Optimization ℓ-устойчиви функции и условна оптимизация." Union of Bulgarian Mathematicians 39.1 (2010): 129-134. <http://eudml.org/doc/250919>.
@article{Ginchev2010,
abstract = {Иван Гинчев - Класът на ℓ-устойчивите в точка функции, дефиниран в [2] и разширяващ класа
на C1,1 функциите, се обобщава от скаларни за векторни функции. Доказани
са някои свойства на ℓ-устойчивите векторни функции. Показано е, че векторни
оптимизационни задачи с ограничения допускат условия от втори ред изразени
чрез посочни производни, което обобщава резултати от [2] и [5].The class of ℓ-stable at a point functions defined in [2] and being larger than the class
of C1,1 functions, it is generalized from scalar to vector functions. Some properties
of the ℓ-stable vector functions are proved. It is shown that constrained vector
optimization problems with ℓ-stable data admit second-order conditions in terms of
directional derivatives, which generalizes the results from [2] and [5]. *2000 Mathematics Subject Classification: 90C29, 90C30, 90C46, 49J52.},
author = {Ginchev, Ivan},
journal = {Union of Bulgarian Mathematicians},
keywords = {Vector Optimization; L-stable Functions; Second-order Conditions},
language = {eng},
number = {1},
pages = {129-134},
publisher = {Union of Bulgarian Mathematicians},
title = {l-stable Functions and Constrained Optimization ℓ-устойчиви функции и условна оптимизация},
url = {http://eudml.org/doc/250919},
volume = {39},
year = {2010},
}
TY - JOUR
AU - Ginchev, Ivan
TI - l-stable Functions and Constrained Optimization ℓ-устойчиви функции и условна оптимизация
JO - Union of Bulgarian Mathematicians
PY - 2010
PB - Union of Bulgarian Mathematicians
VL - 39
IS - 1
SP - 129
EP - 134
AB - Иван Гинчев - Класът на ℓ-устойчивите в точка функции, дефиниран в [2] и разширяващ класа
на C1,1 функциите, се обобщава от скаларни за векторни функции. Доказани
са някои свойства на ℓ-устойчивите векторни функции. Показано е, че векторни
оптимизационни задачи с ограничения допускат условия от втори ред изразени
чрез посочни производни, което обобщава резултати от [2] и [5].The class of ℓ-stable at a point functions defined in [2] and being larger than the class
of C1,1 functions, it is generalized from scalar to vector functions. Some properties
of the ℓ-stable vector functions are proved. It is shown that constrained vector
optimization problems with ℓ-stable data admit second-order conditions in terms of
directional derivatives, which generalizes the results from [2] and [5]. *2000 Mathematics Subject Classification: 90C29, 90C30, 90C46, 49J52.
LA - eng
KW - Vector Optimization; L-stable Functions; Second-order Conditions
UR - http://eudml.org/doc/250919
ER -
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