Efficiency and generalised convexity in vector optimisation problems

This paper gives a necessary and sufficient condition for a Kuhn-Tucker point of a non-smooth vector optimisation problem subject to inequality and equality constraints to be an efficient solution. The main tool we use is an alternative theorem which is quite different to a corresponding result by X...

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Bibliographic Details
Published inThe ANZIAM journal Vol. 45; no. 4; pp. 523 - 546
Main Authors Sach, Pham Huu, Lee, Gue Myung, Kim, Do Sang
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.04.2004
Subjects
Convexity
Optimization
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ISSN1446-1811
1446-8735
DOI10.1017/S1446181100013547

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Summary:This paper gives a necessary and sufficient condition for a Kuhn-Tucker point of a non-smooth vector optimisation problem subject to inequality and equality constraints to be an efficient solution. The main tool we use is an alternative theorem which is quite different to a corresponding result by Xu.
Bibliography:ark:/67375/6GQ-PVGRRDD7-N
ArticleID:01354
PII:S1446181100013547
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SourceType-Scholarly Journals-1
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ISSN:1446-1811
1446-8735
DOI:10.1017/S1446181100013547