Sublevel representations of epi-Lipschitz sets and other properties

• 成果类型: Article
• 署名作者: Czarnecki, Marc-Olivier; Thibault, Lionel
• 署名单位: Universite de Montpellier; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universidad de Chile
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-016-1070-y
• 发表日期: 2018
• 页码: 555-569
• 关键词: generalized-gradients; equilibria; subsets

摘要

Epi-Lipschitz sets in normed spaces are represented as sublevel sets of Lipschitz functions satisfying a so-called qualification condition. Canonical representations through the signed distance functions associated with the sets are also obtained. New optimality conditions are provided, for optimization problems with epi-Lipschitz set constraints, in terms of the signed distance function.