On second-order sufficient optimality conditions forc1,1-optimization problems
作者:
D. Klatte,
K. Tammek,
期刊:
Optimization
(Taylor Available online 1988)
卷期:
Volume 19,
issue 2
页码: 169-179
ISSN:0233-1934
年代: 1988
DOI:10.1080/02331938808843333
出版商: Akademic-Verlag
关键词: Optimization with C1,1-data;generalized hessian matrix;second-order sufficient optimality conditions;stationary solutions;Primary:90 C 30;Secondary: 49 D 39;Secondary:90 C 31
数据来源: Taylor
摘要:
The present paper is concerned with optimization problems in which the data are differentiate functions having a locally Lipschitzian gradient mapping (C1.1-functions). We give second-order sufficient conditions for a stationary solution to be isolated or to be a strict local minimizer. It is shown that the results and ideas known for the case of twice differentiate data can be extended in a natural way. Applications to the analysis of semi-infinite programs, of iterated minimization procedures and of the stability of C1,1-programs are sketched.
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