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Journal of Convex Analysis 10 (2003), No. 1, 285--294
Copyright Heldermann Verlag 2003

Remarks on Differentiability of Metric Projections onto Cones of Nonnegative Functions

K. Malanowski
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warszawa, Poland,

The differentiability properties of the metric projections onto the cones of nonnegative functions in Lp(0,1) and in W1, p(0,1) are considered. It is shown that the metric projection mapping is Bouligand differentiable in Lp(0,1), but it is not Bouligand differentiable in W1, p(0,1).

Keywords: Metric projection, cones of nonnegative functions, Bouligand differentiability.

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