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math.FA2008
Bregman distances and Klee sets
Heinz H. Bauschke, Xianfu Wang, Jane Ye +1
In 1960, Klee showed that a subset of a Euclidean space must be a singleton provided that each point in the space has a unique farthest point in the set. This classical result has…
math.FA2007
Bregman distances and Chebyshev sets
Heinz H. Bauschke, Xianfu Wang, Jane Ye +1
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 infini…