Optimal Sunny Selections for Metric Projections onto Unit Balls Original Research Article

Optimal sunny selections of metric projections onto balls are determined for the normed spaces Cp(Q) (1 ≤ p ≤ ∞) and L1(Ω, μ), and their optimal Lipschitz constants are computed. Moreover, the uniqueness of the optimal sunny selection is proved for the Banach space C(Q).