期刊
SIAM JOURNAL ON OPTIMIZATION
卷 15, 期 1, 页码 252-274出版社
SIAM PUBLICATIONS
DOI: 10.1137/S1052623403424193
关键词
necessary optimality conditions; sufficient optimality conditions; constraint qualifications; bilevel optimization problems; Michel-Penot subdifferentials
In this paper we study optimization problems with equality and inequality constraints on a Banach space where the objective function and the binding constraints are either differentiable at the optimal solution or Lipschitz near the optimal solution. Necessary and sufficient optimality conditions and constraint qualifications in terms of the Michel-Penot subdifferential are given, and the results are applied to bilevel optimization problems.
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