Well posed optimization problems and nonconvex Chebyshev sets in Hilbert spaces

IANNIZZOTTO, ANTONIO;
2008-01-01

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.
2008
Chebyshev sets; Hilbert spaces; Metric projections
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