I have a problem of the form
$$\begin{equation*} \begin{aligned} & \underset{x}{\text{minimize}} & & \lVert \mathbf{x-a} \rVert_2 \\ & \text{subject to} & & \lVert \mathbf{x-v} \rVert_2 \leq \lVert \mathbf{s-v} \rVert_2 \end{aligned} \end{equation*}$$
where $\mathbf{a}$, $\mathbf{s}$, $\mathbf{v}$ are constant. I am not sure how I could reformulate this into the standard form with $Ax \leq b$ inequality constraints and would appreciate any help. I have seen some examples for L1 norm (e.g. here) but not sure how to apply it in this case.