theorem
setValuedProjector_isMaximallyMonotone_of_isChebyshev
{H : Type u}
[NormedAddCommGroup H]
[InnerProductSpace ℝ H]
[FiniteDimensional ℝ H]
{C : Set H}
(hC : IsChebyshev C)
:
Maximal SetValuedOperator.IsMonotone P[C]
Example 20.33: in a finite-dimensional real Hilbert space, the set-valued projector P[C]
onto a Chebyshev set is maximally monotone.