Abstract

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).

Author information

Contact details are reproduced from the original publication and may be historical.

K. Malanowski

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

kmalan@ibspan.waw.pl

Keywords

  • Metric projection
  • cones of nonnegative functions
  • Bouligand differentiability

Suggested citation

K. Malanowski. “Remarks on Differentiability of Metric Projections onto Cones of Nonnegative Functions.” Journal of Convex Analysis 10 (2003), No. 1, 285–294.

Copyright Heldermann Verlag 2003