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Open Access

Continuity properties of projection operators

Journal of Inequalities and Applications20052005:921970

Received: 31 December 2003

Published: 31 October 2005


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.

Authors’ Affiliations

Laboratoire de Mathématiques Appliquées, CNRS FRE 2570, Faculté des Sciences, Universit'e de Pau, Pau, France


© Penot 2005