A covering theorem for set-valued mappings
作者:
A.Ya Kruger,
期刊:
Optimization
(Taylor Available online 1988)
卷期:
Volume 19,
issue 6
页码: 763-780
ISSN:0233-1934
年代: 1988
DOI:10.1080/02331938808843391
出版商: Akademic-Verlag
关键词: Nonsmooth analysis;generalized differentials;set-valued mappings;optimality conditions;Lagrange multipliers;Primary: 49 A 52;Secondary: 90 C 48;Secondary: 58 C 06
数据来源: Taylor
摘要:
The notion of covering is introduced for a set-valued mapping defined on an arbitrary set in a Banach space. A necessary and sufficient covering criterion is proved. The conditions are formulated in terms of generalized differentials and generalized normals. The covering theorem is applied to deduce formulas of generalized differential calculus and necessary optimality conditions for nonsroooth optimization problems.
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