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Convex-along-rays functions and star-shaped sets

 

作者: Alexander Rubinov,   Alexander Vladimirov,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1998）
卷期: Volume 19, issue 5-6  

页码: 593-613

 

ISSN:0163-0563

 

年代: 1998

 

DOI:10.1080/01630569808816848

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

We study abstract convex functions with respect to the set of all abstract affine functions of the form x→ mini=l,…,n+l[li,x] - c. We describe large classes of abstract convex functions and give conditions guaranteeing subdifferentiability of these functions. Some applications to the study of problems of global optimization are discussed.

 

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