Nearly convex sets: fine properties and domains or ranges of subdifferentials of convex functions

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• 作者：Sarah M. Moffat ; Walaa M. Moursi ; Xianfu Wang
• 关键词：Maximally monotone operator ; Nearly convex set ; Nearly equal ; Relative interior ; Recession cone ; Subdifferential with nonconvex domain or range
• 刊名：Mathematical Programming
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：160
• 期：1-2
• 页码：193-223
• 全文大小：992 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Calculus of Variations and Optimal Control
  Mathematics of Computing
  Numerical Analysis
  Combinatorics
  Mathematical and Computational Physics
  Mathematical Methods in Physics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1436-4646
• 卷排序：160

文摘

Nearly convex sets play important roles in convex analysis, optimization and theory of monotone operators. We give a systematic study of nearly convex sets, and construct examples of subdifferentials of lower semicontinuous convex functions whose domains or ranges are nonconvex.