- Research Article
- Open Access
Continuity properties of projection operators
Journal of Inequalities and Applications volume 2005, Article number: 921970 (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.
About this article
Cite this article
Penot, JP. Continuity properties of projection operators. J Inequal Appl 2005, 921970 (2005). https://doi.org/10.1155/JIA.2005.509