Differentiability Properties of Metric Projections onto Convex Sets

نویسنده

  • Alexander Shapiro
چکیده

It is known that directional differentiability of metric projection onto a closed convex set in a finite dimensional space is not guaranteed. In this paper we discuss sufficient conditions ensuring directional differentiability of such metric projections. The approach is based on a general theory of sensitivity analysis of parameterized optimization problems.

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عنوان ژورنال:
  • J. Optimization Theory and Applications

دوره 169  شماره 

صفحات  -

تاریخ انتشار 2016