A nonconvex separation property and some applications

• 成果类型: Article
• 署名作者: Jofre, Alejandro; Cayupi, Jorge Rivera
• 署名单位: Universidad de Chile; Universidad de Chile; Universidad de Chile
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-006-0703-y
• 发表日期: 2006
• 页码: 37-51
• 关键词: approximate subdifferentials; differential-calculus; metric regularity; nonsmooth

摘要

In this paper we proved a nonconvex separation property for general sets which coincides with the Hahn-Banach separation theorem when sets are convexes. Properties derived from the main result are used to compute the subgradient set to the distance function in special cases and they are also applied to extending the Second Welfare Theorem in economics and proving the existence of singular multipliers in Optimization.