Bregman distances without coercive condition: suns,Chebyshev sets and Klee sets |
| |
Abstract: | ABSTRACTIn a real Banach space X, we introduce for a non-empty set C in X the notion of suns in the sense of Bregman distances and show that C is such a sun if and only if C is convex. Also, we give some necessary and sufficient conditions for a compact set to be the Klee set, extending corresponding results on the Euclidean space. |
| |
Keywords: | Bregman distance convex set sun Chebyshev set Klee set |
|
|