EDB — 18B

[18B] Topics:minimum. Prerequisites:[188]↺↻.Let \(C⊆ ℝ^ n\) be a convex set, and \(f:C→ℝ\) a convex function. Show that \(z∈ {{C}^\circ }\) is a minimum if and only if \(0∈ ∂ f(z)\).