LAGRANGIAN DUALITY FOR VECTOR OPTIMIZATION PROBLEMS WITH SET-VALUED MAPPINGS

In this paper, by using a alternative theorem, we establish Lagrangian conditions and duality results for set-valued vector optimization problems when the objective and constant are nearly cone-subconvexlike multifunctions in the sense of E-weak minimizer. 2010Mathematics Subject Classification: 90C...

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Bibliographic Details
Published inTaiwanese journal of mathematics Vol. 17; no. 1; pp. 287 - 297
Main Authors Long, Xian-Jun, Peng, Jian-Wen
Format Journal Article
LanguageEnglish
Published Mathematical Society of the Republic of China 01.02.2013
Subjects
Economic theory
Lagrangian function
Mathematical duality
Mathematical functions
Mathematical theorems
Mathematical vectors
Topological vector spaces
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ISSN1027-5487
2224-6851
DOI10.11650/tjm.17.2013.2896

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Summary:In this paper, by using a alternative theorem, we establish Lagrangian conditions and duality results for set-valued vector optimization problems when the objective and constant are nearly cone-subconvexlike multifunctions in the sense of E-weak minimizer. 2010Mathematics Subject Classification: 90C29, 90C46. Key words and phrases: Set-valued vector optimization problems, Lagrangian duality, Alternative theorem, E-weak minimizer, Nearly cone-subconvexlikeness.
ISSN:1027-5487
2224-6851
DOI:10.11650/tjm.17.2013.2896