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Bregman distances without coercive condition: suns, Chebyshev sets and Klee sets.
- Source :
-
Optimization . Aug2019, Vol. 68 Issue 8, p1599-1624. 26p. - Publication Year :
- 2019
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BANACH spaces
*DISTANCES
*CONVEX sets
*SUNSHINE
Subjects
Details
- Language :
- English
- ISSN :
- 02331934
- Volume :
- 68
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 138124266
- Full Text :
- https://doi.org/10.1080/02331934.2019.1625898