Nonconvex vector optimization of set-valued mappings

S. J. Li; Xiaoqi Yang; G. Y. Chen

doi:10.1016/S0022-247X(02)00410-9

Nonconvex vector optimization of set-valued mappings

S. J. Li, Xiaoqi Yang, G. Y. Chen

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

40 Citations (Scopus)

Abstract

In this paper, we discuss properties, such as monotonicity and continuity, of the Gerstewitz's nonconvex separation functional. With the aid of this functional, necessary and sufficient optimality conditions for nonconvex optimization problems of set-valued mappings are obtained in topological vector spaces.

Original language	English
Pages (from-to)	337-350
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	283
Issue number	2
DOIs	https://doi.org/10.1016/S0022-247X(02)00410-9
Publication status	Published - 15 Jul 2003

Keywords

Gerstewitz's nonconvex separation functional
Minimal solution
Nonconvex optimality
Set-valued mapping

ASJC Scopus subject areas

Analysis
Applied Mathematics

More information

10.1016/S0022-247X(02)00410-9

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title = "Nonconvex vector optimization of set-valued mappings",

abstract = "In this paper, we discuss properties, such as monotonicity and continuity, of the Gerstewitz's nonconvex separation functional. With the aid of this functional, necessary and sufficient optimality conditions for nonconvex optimization problems of set-valued mappings are obtained in topological vector spaces.",

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T1 - Nonconvex vector optimization of set-valued mappings

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AU - Chen, G. Y.

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AB - In this paper, we discuss properties, such as monotonicity and continuity, of the Gerstewitz's nonconvex separation functional. With the aid of this functional, necessary and sufficient optimality conditions for nonconvex optimization problems of set-valued mappings are obtained in topological vector spaces.

KW - Gerstewitz's nonconvex separation functional

KW - Minimal solution

KW - Nonconvex optimality

KW - Set-valued mapping

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DO - 10.1016/S0022-247X(02)00410-9

M3 - Journal article

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EP - 350

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Nonconvex vector optimization of set-valued mappings

Abstract

Keywords

ASJC Scopus subject areas

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