A simple closure condition for the normal cone intersection formula
A simple closure condition for the normal cone intersection formula
In this paper it is shown that if $C$ and $D$ are two closed convex subsets of a Banach space $X$ and $x\in C\cap D$, then $N_{C\cap D}(x)=N_{C}(x)+N_{D}(x)$ whenever the convex cone, $\left (\mathrm {Epi} \sigma _{C}+\mathrm {Epi} \sigma _{D}\right )$, is weak* closed, where $\sigma _{C}$ and $N_{C}$ are …