Partially ball weakly inf-compact saddle functions

• 成果类型: Article
• 署名作者: Thibault, L; Zlateva, N
• 署名单位: Universite de Montpellier; University of Sofia; Universite de Montpellier
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.1040.0126
• 发表日期: 2005
• 页码: 404-419
• 关键词: fenchels duality theorem; subdifferentials; extension

摘要

We study on a product Banach space the properties of a class of saddle functions called partially ball weakly inf-compact. For such a function we prove that the domain of the subdifferential is nonempty, that the operator naturally associated with the subdifferential is maximal monotone, and that the subdifferential of the function is integrable. For a function in a large subclass of that class we prove the density of the domain of the subdifferential in the domain of the function.