Continuity properties of projection operators

被引：0
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作者：
Jean-Paul Penot
机构：
[1] Universit'e de Pau,Laboratoire de Mathématiques Appliquées, CNRS FRE 2570, Faculté des Sciences
来源：
Journal of Inequalities and Applications | / 2005卷
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摘要：
We prove that the projection operator on a nonempty closed convex subset[inline-graphic not available: see fulltext] 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[inline-graphic not available: see fulltext] of a given point when[inline-graphic not available: see fulltext] varies.
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