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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