On Brondsted-Rockafellar's Theorem for convex lower semicontinuous epi-pointed functions in locally convex spaces

• 成果类型: Article
• 署名作者: Correa, Rafael; Hantoute, Abderrahim; Perez-Aros, Pedro
• 署名单位: Universidad de Chile; Universidad de Chile; Universidad de Chile; Universidad de O'Higgins; Universidad de Chile
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-017-1110-2
• 发表日期: 2018
• 页码: 631-643
• 关键词: maximal monotonicity; banach-spaces; subdifferentials; integration

摘要

In this work we give an extension of the Brondsted-Rockafellar Theorem, and some of its important consequences, to proper convex lower-semicontinuous epi-pointed functions defined in locally convex spaces. We use a new approach based on a simple variational principle, which also allows recovering the classical results in a natural way.