Optimization of Discrete Inclusions with Distributed Parameters

E. N. Mahmudov

doi:10.1080/02331939008843535

Optimization of Discrete Inclusions with Distributed Parameters

E. N. Mahmudov^*

^*Corresponding author for this work

Azerbaijan National Academy of Sciences

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

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.

Original language	English
Pages (from-to)	197-207
Number of pages	11
Journal	Optimization
Volume	21
Issue number	2
DOIs	https://doi.org/10.1080/02331939008843535
Publication status	Published - 1 Jan 1990
Externally published	Yes

Keywords

Conjugate function
Duality
Infimal convolution
Local tent
Many-valued mapping
Subdifferential

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10.1080/02331939008843535

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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.",

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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

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U2 - 10.1080/02331939008843535

DO - 10.1080/02331939008843535

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VL - 21

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EP - 207

JO - Optimization

JF - Optimization

IS - 2

ER -

Optimization of Discrete Inclusions with Distributed Parameters

Abstract

Keywords

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