Optimization of Discrete Inclusions with Distributed Parameters

E. N. Mahmudov

doi:10.1080/02331939008843535

Optimization of Discrete Inclusions with Distributed Parameters

E. N. Mahmudov^*

^*Bu çalışma için yazışmadan sorumlu yazar

Azerbaijan National Academy of Sciences

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

20 Atıf (Scopus)

Özet

Necessary and sufficient conditions of optimality under the most general assumptions are deduced for the considered problems on the basis of the apparatus of locally conjugate mappings and local tents. For problems with a convex structure dual problems are constructed and duality theorems are proved using the theorems of duality of operations of addition and infimal convolution of convex functions.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	197-207
Sayfa sayısı	11
Dergi	Optimization
Hacim	21
Basın numarası	2
DOI'lar	https://doi.org/10.1080/02331939008843535
Yayın durumu	Yayınlandı - 1 Oca 1990
Harici olarak yayınlandı	Evet

Belgeye Erişim

10.1080/02331939008843535

Diğer Dosyalar ve Linkler

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Alıntı Yap

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title = "Optimization of Discrete Inclusions with Distributed Parameters",

abstract = "Necessary and sufficient conditions of optimality under the most general assumptions are deduced for the considered problems on the basis of the apparatus of locally conjugate mappings and local tents. For problems with a convex structure dual problems are constructed and duality theorems are proved using the theorems of duality of operations of addition and infimal convolution of convex functions.",

keywords = "Conjugate function, Duality, Infimal convolution, Local tent, Many-valued mapping, Subdifferential",

author = "Mahmudov, {E. N.}",

year = "1990",

month = jan,

day = "1",

doi = "10.1080/02331939008843535",

language = "English",

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pages = "197--207",

journal = "Optimization",

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T1 - Optimization of Discrete Inclusions with Distributed Parameters

AU - Mahmudov, E. N.

PY - 1990/1/1

Y1 - 1990/1/1

N2 - Necessary and sufficient conditions of optimality under the most general assumptions are deduced for the considered problems on the basis of the apparatus of locally conjugate mappings and local tents. For problems with a convex structure dual problems are constructed and duality theorems are proved using the theorems of duality of operations of addition and infimal convolution of convex functions.

AB - Necessary and sufficient conditions of optimality under the most general assumptions are deduced for the considered problems on the basis of the apparatus of locally conjugate mappings and local tents. For problems with a convex structure dual problems are constructed and duality theorems are proved using the theorems of duality of operations of addition and infimal convolution of convex functions.

KW - Conjugate function

KW - Duality

KW - Infimal convolution

KW - Local tent

KW - Many-valued mapping

KW - Subdifferential

UR - http://www.scopus.com/inward/record.url?scp=84963196750&partnerID=8YFLogxK

U2 - 10.1080/02331939008843535

DO - 10.1080/02331939008843535

M3 - Article

AN - SCOPUS:84963196750

SN - 0233-1934

VL - 21

SP - 197

EP - 207

JO - Optimization

JF - Optimization

IS - 2

ER -

Optimization of Discrete Inclusions with Distributed Parameters

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap