%0 Journal Article
%T Continuity properties of projection operators
%A Penot Jean-Paul
%J Journal of Inequalities and Applications
%D 2005
%I Springer
%X We prove that the projection operator on a nonempty closed convex subset of a uniformly convex Banach spaces is uniformly continuous on bounded sets and we provide an estimate of its modulus of uniform continuity. We derive this result from a study of the dependence of the projection on of a given point when varies.
%U http://www.journalofinequalitiesandapplications.com/content/2005/921970