Chebyshev Sets, Klee Sets, and Chebyshev Centers with Respect to Bregman Distances: Recent Results and Open Problems

DOI10.1007/978-1-4419-9569-8_1zbMath1251.41011arXiv1003.3127OpenAlexW1606423959MaRDI QIDQ2897272

Heinz H. Bauschke, Mason S. Macklem, Shawn Xianfu Wang

Publication date: 10 July 2012

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.3127

zbMATH Keywords

convex functionprojectionKullback-Leibler divergencefarthest pointLegendre functionFenchel conjugateChebyshev functionnearest pointKlee functionItakura-Saito distance

Mathematics Subject Classification ID

Convex programming (90C25) Set-valued and variational analysis (49J53) Measure-preserving transformations (28D05) Baire category, Baire spaces (54E52) Best approximation, Chebyshev systems (41A50) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Set-valued and function-space-valued mappings on manifolds (58C06)

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