Linear Regularity for a Collection of Subsmooth Sets in Banach Spaces

Xi Yin Zheng, Kung Fu Ng · SIAM Journal on Optimization · 2008

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.

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