Subsmooth sets: Functional characterizations and related concepts
Subsmooth sets: Functional characterizations and related concepts
Prox-regularity of a set (Poliquin-Rockafellar-Thibault, 2000), or its global version, proximal smoothness (Clarke-Stern-Wolenski, 1995) plays an important role in variational analysis, not only because it is associated with some fundamental properties as the local continuous differentiability of the function $\mbox {dist} (C;\cdot )$, or the local uniqueness of the projection …