2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165791The main result states that every convex set-valued function defined on a real interval with compact values in a locally convex space, admits an affine selection. In the case if the target space is a real line and the values are closed real intervals, we can replace the convexity assumption by the more general condition.A revised version of the manuscript, the references are actualizedFunctional Analysis26E25 (Primary); 54C65 (Secondary)text