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

作者：Moffat Sarah M; Moursi Walaa M; Wang Xianfu^*

来源：Mathematical Programming, 2016, 160(1-2): 193-223.

DOI：10.1007/s10107-016-0980-z

• Maximally monotone operator
• Nearly convex set
• Nearly equal
• Relative interior
• Recession cone
• Subdifferential with nonconvex domain or range

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.

• 出版日期2016-11