= Aubin property
{c}
{title2=$S(u)\cap V\subset S(u^\prime)+\kappa\|u-u^\prime\|\mathbb B$}
= Lipschitz-like property
{c}
{synonym}
= Lipschitz-like
{c}
{synonym}
= Pseudo-Lipschitz property
{synonym}
Near $(\bar u,\bar v)$ in a graph, this property requires neighborhoods $U,V$ and a finite $\kappa$ such that $S(u)\cap V\subset S(u^\prime)+\kappa\|u-u^\prime\|\mathbb B$ for all $u,u^\prime\in U$. Nearby solutions can be matched under nearby perturbations with linear displacement control. Single-valued maps reduce to local <Lipschitz continuity>.
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