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Stability of solutions for a class of nonlinear cone constrained optimization problems, part 1: Basic theory

 

作者: Walter Alt,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1989）
卷期: Volume 10, issue 11-12  

页码: 1053-1064

 

ISSN:0163-0563

 

年代: 1989

 

DOI:10.1080/01630568908816346

 

出版商: Marcel Dekker, Inc.

 

关键词: Nonlinear optimization;parametric programming;stability of solutions;49B50;90C31;90C50

 

数据来源: Taylor

 

摘要:

We Gonsider a class of nonlinear cone constrained optimization problems depending on a parameter. Under the assumption of a constraint qualification, a second order sufficient optimality condition and a stability condition for the Lagrange multipliers it is shown, that for sufficiently smooth perturbations of the constraints and the objective function the optimal solutions obey a type of Lipschitz condition.

 

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