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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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