Bregman distances without coercive condition: suns, Chebyshev sets and Klee sets
Xian-Fa Luo, Meng Li, Ching‐Feng Wen, Jen‐Chih Yao · Optimization · 2019
In 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.