Directional Differentiability of the Generalized Metric Projection in Hilbert spaces and Hilbertian Bochner spaces

Jinlu Li, Li Cheng, Lishan Liu +1

Let $H$ be a real Hilbert space and $C$ a nonempty closed and convex subset of $H$. Let $P_C:H\to C$ denote the (standard) metric projection operator. In this paper, we st…