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Perturbation analysis of optimization problems in banach spaces

 

作者: Alexander Shapiro,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1992）
卷期: Volume 13, issue 1-2  

页码: 97-116

 

ISSN:0163-0563

 

年代: 1992

 

DOI:10.1080/01630569208816463

 

出版商: Marcel Dekker, Inc.

 

关键词: Nonlinear optimization;parametric programming;sensitivity analysis;Lipschitz continuity;directional derivative;49B50;90C31

 

数据来源: Taylor

 

摘要:

In this paper we study local behavior of optimal solutions of parametric programs in Banach spaces. A general approach to approximation of the original problem by a simpler one is outlined. Under various regularity conditions, Lipschitz continuity and directional differentiability properties of the optimal solutions are derived.

 

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