期刊
SIAM JOURNAL ON OPTIMIZATION
卷 27, 期 2, 页码 1204-1229出版社
SIAM PUBLICATIONS
DOI: 10.1137/16M1067342
关键词
directional regularity; generalized Ekeland variational principle; necessary and sufficient conditions for regularity; optimization problems
资金
- Romanian National Authority for Scientific Research, CNCS-UEFISCDI [PN-II-RU-TE-2014-4-0019]
In this work we introduce and study a new type of directional regularity for mappings, making use of a minimal time function analyzed by the authors in a previous work. The corresponding directional triplet of linear openness, metric regularity, and Aubin property naturally appears, as shown by several examples. Then we devise a new directional Ekeland variational principle, which we use, along with other tools, to obtain necessary and sufficient conditions for directional regularity, formulated in terms of generalized differentiation objects. Finally, we apply the machinery developed before to the study of optimization problems with functional objectives.
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