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Zbl 1190.90231
Zheng, Xi Yin; Ng, Kung Fu
Linear regularity for a collection of subsmooth sets in Banach spaces. (English)
[J] SIAM J. Optim. 19, No. 1, 62-76 (2008). ISSN 1052-6234; ISSN 1095-7189/e

Summary: Using variational analysis, we study the linear regularity for a collection of finitely many closed sets. In particular, we extend duality characterizations of the linear regularity for a collection of finitely many closed convex sets to the possibly nonconvex setting. Moreover, the sharpest linear regularity constant can also be dually represented under the subsmoothness assumption.

MSC 2000:: *90C31 Sensitivity, etc.
90C25 Convex programming
49J52 Nonsmooth analysis (other weak concepts of optimality)
46B20 Geometry and structure of normed spaces

Keywords: approximate projection theorem; linear regularity; normal cone; subsmoothness

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