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Axiomatic approach to duality in optimization

 

作者: Dinh The Luc,   Johannes Jahn,  

 

期刊: Numerical Functional Analysis and Optimization  (Taylor Available online 1992)
卷期: Volume 13, issue 3-4  

页码: 305-326

 

ISSN:0163-0563

 

年代: 1992

 

DOI:10.1080/01630569208816480

 

出版商: Marcel Dekker, Inc.

 

关键词: Duality;Efficient point;Monotonic function;Vector optimization;Primary 49A55;Secondary 90C31

 

数据来源: Taylor

 

摘要:

A new approach to duality in mathematical programming is developed for nonconvex vector problems with set-valued objectives. The approach is based on a weak duality axiom and a separation of nonconvex sets by means of monotonic functions. Strong duality results are obtained without convexity assumptions and without or under a rather weak constraint qualification. An application to nonconvex scalar programming is supplied.

 

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