Question: Proximal operator associated with a convex function f : Rn R is defined as: proxf (v) := argmin1 v x2 + f(x) (3) xRn 2

Proximal operator associated with a convex function f : Rn R is defined as: proxf (v) := argmin1 v x2 + f(x) (3) xRn 2 Determine whether the solution to Equation (3) is unique if f is a convex function (not necessarily strictly convex)

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