Optimality conditions for approximate solutions of vector optimization problems
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Open access via publisher
Authors
Gao, Ying
Yang, X
Teo, Kok Lay
Date
2011Type
Journal Article
Metadata
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Gao, Ying and Yang, Xinmin and Teo, Kok Lay. 2011. Optimality conditions for approximate solutions of vector optimization problems. Journal of Industrial and management optimization. 7 (2): pp. 483-496.
Source Title
Journal of Industrial and management optimization
ISSN
School
Department of Mathematics and Statistics
Collection
Abstract
In this paper, we introduce a new kind of properly approximate efficient solution of vector optimization problems. Some properties for this new class of approximate solutions are established. Also necessary and sufficient conditions via nonlinear scalarizations are obtained for properly approximate solutions. And under the assumption of cone subconvexlike functions, we derive linear scalarizations for properly approximate efficient solutions.
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