期刊
OPTIMIZATION
卷 55, 期 5-6, 页码 685-708出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/02331930600816395
关键词
variational analysis and constrained optimization; Frechet normals; subgradients; coderivatives; subdifferential calculus; necessary optimality conditions; difference-type functions; geometric and operator constraints; weak sharp minima
We develop various (exact) calculus rules for Frechet lower and upper subgradients of extended-real-valued functions in real Banach spaces. Then we apply this calculus to derive new necessary optimality conditions for some remarkable classes of problems in constrained optimization including minimization problems for difference-type functions under geometric and operator constraints as well as subdifferential optimality conditions for the so-called weak sharp minima.
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