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Optimality conditions for an exhausterable function on an exhausterable set. / Abbasov, Majid E.

в: Journal of Global Optimization, Том 76, № 1, 01.01.2020, стр. 57-67.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Abbasov, ME 2020, 'Optimality conditions for an exhausterable function on an exhausterable set', Journal of Global Optimization, Том. 76, № 1, стр. 57-67. https://doi.org/10.1007/s10898-019-00858-y

APA

Abbasov, M. E. (2020). Optimality conditions for an exhausterable function on an exhausterable set. Journal of Global Optimization, 76(1), 57-67. https://doi.org/10.1007/s10898-019-00858-y

Vancouver

Abbasov ME. Optimality conditions for an exhausterable function on an exhausterable set. Journal of Global Optimization. 2020 Янв. 1;76(1):57-67. https://doi.org/10.1007/s10898-019-00858-y

Author

Abbasov, Majid E. / Optimality conditions for an exhausterable function on an exhausterable set. в: Journal of Global Optimization. 2020 ; Том 76, № 1. стр. 57-67.

BibTeX

@article{339c22abf5d84be2a13e23815fca24d7,
title = "Optimality conditions for an exhausterable function on an exhausterable set",
abstract = "Exhausters are families of convex compact sets that allow one to represent directional derivative of the studied function at a point in the form of InfMax or SupMin of linear functions. Functions for which such a representation is valid we call exhausterable. This class of functions is quite wide and contains many nonsmooth ones. The set of exhausterable function is also called exhausterable. In the present paper we describe optimality conditions for an exhausterable function on an exhausterable set. These conditions can be used for solving many nondifferentiable optimization problems. An example that illustrate obtained results is provided.",
keywords = "Constrained optimization, Exhausters, Nondifferentiable optimization, Nonsmooth analysis, Optimality conditions",
author = "Abbasov, {Majid E.}",
note = "Publisher Copyright: {\textcopyright} 2019, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
month = jan,
day = "1",
doi = "10.1007/s10898-019-00858-y",
language = "English",
volume = "76",
pages = "57--67",
journal = "Journal of Global Optimization",
issn = "0925-5001",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Optimality conditions for an exhausterable function on an exhausterable set

AU - Abbasov, Majid E.

N1 - Publisher Copyright: © 2019, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/1/1

Y1 - 2020/1/1

N2 - Exhausters are families of convex compact sets that allow one to represent directional derivative of the studied function at a point in the form of InfMax or SupMin of linear functions. Functions for which such a representation is valid we call exhausterable. This class of functions is quite wide and contains many nonsmooth ones. The set of exhausterable function is also called exhausterable. In the present paper we describe optimality conditions for an exhausterable function on an exhausterable set. These conditions can be used for solving many nondifferentiable optimization problems. An example that illustrate obtained results is provided.

AB - Exhausters are families of convex compact sets that allow one to represent directional derivative of the studied function at a point in the form of InfMax or SupMin of linear functions. Functions for which such a representation is valid we call exhausterable. This class of functions is quite wide and contains many nonsmooth ones. The set of exhausterable function is also called exhausterable. In the present paper we describe optimality conditions for an exhausterable function on an exhausterable set. These conditions can be used for solving many nondifferentiable optimization problems. An example that illustrate obtained results is provided.

KW - Constrained optimization

KW - Exhausters

KW - Nondifferentiable optimization

KW - Nonsmooth analysis

KW - Optimality conditions

UR - http://www.scopus.com/inward/record.url?scp=85075293012&partnerID=8YFLogxK

U2 - 10.1007/s10898-019-00858-y

DO - 10.1007/s10898-019-00858-y

M3 - Article

AN - SCOPUS:85075293012

VL - 76

SP - 57

EP - 67

JO - Journal of Global Optimization

JF - Journal of Global Optimization

SN - 0925-5001

IS - 1

ER -

ID: 76991402