On cone d.c. optimization and conjugate duality

M. Semu

doi:10.1142/S0252959903000529

On cone d.c. optimization and conjugate duality

M. Semu

Mathematics & Statistical Sciences

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

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Abstract

This paper derives first order necessary and sufficient conditions for unconstrained cone d.c. programming problems where the underlined space is partially ordered with respect to a cone. These conditions are given in terms of directional derivatives and subdifferentials of the component functions. Moreover, conjugate duality for cone d.c. optimization is discussed and weak duality theorem is proved in a more general partially ordered linear topological vector space (generalizing the results in [11]).

Original language	English
Pages (from-to)	521-528
Number of pages	8
Journal	Chinese Annals of Mathematics. Series B
Volume	24
Issue number	4
DOIs	https://doi.org/10.1142/S0252959903000529
Publication status	Published - 2003

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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title = "On cone d.c. optimization and conjugate duality",

abstract = "This paper derives first order necessary and sufficient conditions for unconstrained cone d.c. programming problems where the underlined space is partially ordered with respect to a cone. These conditions are given in terms of directional derivatives and subdifferentials of the component functions. Moreover, conjugate duality for cone d.c. optimization is discussed and weak duality theorem is proved in a more general partially ordered linear topological vector space (generalizing the results in [11]).",

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AB - This paper derives first order necessary and sufficient conditions for unconstrained cone d.c. programming problems where the underlined space is partially ordered with respect to a cone. These conditions are given in terms of directional derivatives and subdifferentials of the component functions. Moreover, conjugate duality for cone d.c. optimization is discussed and weak duality theorem is proved in a more general partially ordered linear topological vector space (generalizing the results in [11]).

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DO - 10.1142/S0252959903000529

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JO - Chinese Annals of Mathematics. Series B

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IS - 4

ER -

On cone d.c. optimization and conjugate duality

Abstract

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