Bregman distances and Chebyshev sets

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Bregman distances and Chebyshev sets

A closed set of a Euclidean space is said to be Chebyshev if every point in the space has one and only one closest point in the set. Although the situation is not settled in infinite-dimensional Hilbert spaces, in 1932 Bunt showed that in Euclidean spaces a closed set is Chebyshev if and only if the set is convex. In this paper, from the more general perspective of Bregman distances, we show th...

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ژورنال

عنوان ژورنال: Journal of Approximation Theory

سال: 2009

ISSN: 0021-9045

DOI: 10.1016/j.jat.2008.08.014