Graph of a set-valued mapping
= Graph of a set-valued mapping
{title2=$\operatorname{gph}S=\{(u,v):v\in S(u)\}$}
The graph is $\operatorname{gph}S=\{(u,v):v\in S(u)\}$. Local graph normals encode the <Mordukhovich coderivative> and hence the <Aubin property>. Graph closedness is a local hypothesis in the sensitivity criterion.