2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152327In 1979, B.Bjornestal obtained local estimate for a modulus of uniform continuity of metric projection operator on closed subspace in uniformly convex and uniformly smooth Banach space $B$. In the present paper we give the global version of this result for the projection operator on an arbitrary closed convex set in $B$.12 pages, LaTex fileFunctional Analysistext