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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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
Online AccessGet full text
ISSN1027-5487
2224-6851
DOI10.11650/tjm.17.2013.2896

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Abstract 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.
AbstractList 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.
Author Long, Xian-Jun
Peng, Jian-Wen
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SubjectTerms Economic theory
Lagrangian function
Mathematical duality
Mathematical functions
Mathematical theorems
Mathematical vectors
Topological vector spaces
Title LAGRANGIAN DUALITY FOR VECTOR OPTIMIZATION PROBLEMS WITH SET-VALUED MAPPINGS
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