Well Posed Optimization Problems and Nonconvex Chebyshev Sets in Hilbert Spaces

نویسندگان

  • Francesca Faraci
  • Antonio Iannizzotto
چکیده

A result on the existence and uniqueness of metric projection for certain sets is proved, by means of a saddle point theorem. A conjecture, based on such a result and aiming for the construction of a nonconvex Chebyshev set in a Hilbert space, is presented.

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عنوان ژورنال:
  • SIAM Journal on Optimization

دوره 19  شماره 

صفحات  -

تاریخ انتشار 2008