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

• 成果类型: Article
• 署名作者: Moffat, Sarah M.; Moursi, Walaa M.; Wang, Xianfu
• 署名单位: University of British Columbia; University of British Columbia Okanagan; Egyptian Knowledge Bank (EKB); Mansoura University
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-016-0980-z
• 发表日期: 2016
• 页码: 193-223
• 关键词: fitzpatrick functions; monotone-operators; Duality

摘要

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.