Subsmooth semi-infinite and infinite optimization problems

• 成果类型: Article
• 署名作者: Zheng, Xi Yin; Ng, Kung Fu
• 署名单位: Yunnan University; Chinese University of Hong Kong
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-011-0440-8
• 发表日期: 2012
• 页码: 365-393
• 关键词: weak sharp minima; strong uniqueness; CONVERGENCE; REGULARITY; sets

摘要

We first consider subsmoothness for a function family and provide formulas of the subdifferential of the pointwise supremum of a family of subsmooth functions. Next, we consider subsmooth infinite and semi-infinite optimization problems. In particular, we provide several dual and primal characterizations for a point to be a sharp minimum or a weak sharp minimum for such optimization problems.