Higher-order Mond-Weir duality for set-valued optimization

S. J. Li; K. L. Teo; Xiaoqi Yang

doi:10.1016/j.cam.2007.02.011

Higher-order Mond-Weir duality for set-valued optimization

S. J. Li
, K. L. Teo
, Xiaoqi Yang

Research output: Journal article publication › Journal article › Academic research › peer-review

32 Citations (Scopus)

Abstract

In this paper, we introduce a higher-order Mond-Weir dual for a set-valued optimization problem by virtue of higher-order contingent derivatives and discuss their weak duality, strong duality and converse duality properties.

Original language	English
Pages (from-to)	339-349
Number of pages	11
Journal	Journal of Computational and Applied Mathematics
Volume	217
Issue number	2
DOIs	https://doi.org/10.1016/j.cam.2007.02.011
Publication status	Published - 1 Aug 2008

Keywords

Higher-order contingent derivative
Mond-Weir duality
Set-valued optimization

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.cam.2007.02.011

Cite this

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title = "Higher-order Mond-Weir duality for set-valued optimization",

abstract = "In this paper, we introduce a higher-order Mond-Weir dual for a set-valued optimization problem by virtue of higher-order contingent derivatives and discuss their weak duality, strong duality and converse duality properties.",

keywords = "Higher-order contingent derivative, Mond-Weir duality, Set-valued optimization",

author = "Li, \{S. J.\} and Teo, \{K. L.\} and Xiaoqi Yang",

year = "2008",

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N2 - In this paper, we introduce a higher-order Mond-Weir dual for a set-valued optimization problem by virtue of higher-order contingent derivatives and discuss their weak duality, strong duality and converse duality properties.

AB - In this paper, we introduce a higher-order Mond-Weir dual for a set-valued optimization problem by virtue of higher-order contingent derivatives and discuss their weak duality, strong duality and converse duality properties.

KW - Higher-order contingent derivative

KW - Mond-Weir duality

KW - Set-valued optimization

UR - https://www.scopus.com/pages/publications/43649087452

U2 - 10.1016/j.cam.2007.02.011

DO - 10.1016/j.cam.2007.02.011

M3 - Journal article

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JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

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ER -

Higher-order Mond-Weir duality for set-valued optimization

Abstract

Keywords

ASJC Scopus subject areas

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