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.

Well posed optimization problems and nonconvex Chebyshev sets in Hilbert spaces

IANNIZZOTTO, ANTONIO;
2008

Abstract

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.
Chebyshev sets; Hilbert spaces; Metric projections
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11584/16929
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