On the comparison principle for a nonlocal infinity Laplacian

In this article, we prove the uniqueness of viscosity solutions to ℒ ∞ ⁢ u = f in ⁢ Ω , see text L∞u=f Ω, where ℒ ∞ {L∞} denotes the nonlocal infinity Laplace operator, Ω a bounded domain, and f a continuous functions such that f ≤ 0 {f≤ 0} . Uniqueness is established through a comparison principle.