The sticky face lemma describes the local behavior of the inverse of the normal-cone operator of a polyhedral convex set. This inverse, when applied to a vector, produces a face of the set. The lemma says that small perturbations of the vector produce only subfaces of the original face. This property is useful in analyzing variational analysis and optimization problems whose underlying sets are convex and polyhedral.
Mathematical Programming – Springer Journals
Published: Jun 13, 2016
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