On optimality conditions in nonsmooth inequality constrained minimization
作者:
V. Jeyakumar,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1987)
卷期:
Volume 9,
issue 5-6
页码: 535-546
ISSN:0163-0563
年代: 1987
DOI:10.1080/01630568708816246
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
First order necessary optimality conditions for a minimum of an inequality constrained minimization problem are given in terms of approximate quasidifferentials, without the usual differentiability, convexity or locally Lipschitz assumptions. The main result is obtained with the help of a semi-infinite Gordan type alternative theorem. Sufficient conditions for a minimum are also given with the usual convexity assumption replaced by an invex condition.
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