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Conjugate Duality in Constrained Set-Valued Vector Optimization Problems

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Authors
Li, S.
Sun, X.
Liu, H.
Yao, S.
Teo, Kok Lay
Date
2011
Type
Journal Article

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Li, S.J. and Sun, X.K. and Liu, H.M. and Yao, S.F. and Teo, K.L. 2011. Conjugate Duality in Constrained Set-Valued Vector Optimization Problems. Numerical Functional Analysis and Optimization. 32 (1): pp. 65-82.
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Numerical Functional Analysis and Optimization
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Department of Mathematics and Statistics
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Abstract

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.