Conjugate Duality in Constrained Set-Valued Vector Optimization Problems

In this article, under a concept of supremum/infimum of a set, defined in terms of a closure of the set, three kinds of conjugate dual problems are proposed for a constrained set-valued vector optimization problem. Weak duality, strong duality, and stability criteria are investigated. The inclusion...

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Bibliographic Details
Published in:Numerical functional analysis and optimization 2011-01, Vol.32 (1), p.65-82
Main Authors: Li, S. J., Sun, X. K., Liu, H. M., Yao, S. F., Teo, K. L.
Format: Article
Language:English
Subjects:
Calculus of variations and optimal control
Conjugate duality
Conjugates
Constraints
Criteria
Exact sciences and technology
Inclusion relation
Infimum
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming, optimization and calculus of variations
Numerical methods in optimization and calculus of variations
Optimization
Sciences and techniques of general use
Set-valued vector optimization
Stability criteria
Strong duality
Supremum
Vectors (mathematics)
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Summary:In this article, under a concept of supremum/infimum of a set, defined in terms of a closure of the set, three kinds of conjugate dual problems are proposed for a constrained set-valued vector optimization problem. Weak duality, strong duality, and stability criteria are investigated. The inclusion relations between the image sets of the dual problems are also discussed.
ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2010.528567