The Fermat rule for multifunctions on Banach spaces

• 成果类型: Article
• 署名作者: Zheng, XY; Ng, KF
• 署名单位: Yunnan University; Chinese University of Hong Kong
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-004-0569-9
• 发表日期: 2005
• 页码: 69-90
• 关键词: pareto-optimization; EXISTENCE; THEOREMS; calculus; 1st

摘要

Using variational analysis, we study vector optimization problems with objectives being closed multifunctions on Banach spaces or in Asplund spaces. In particular, in terms of the coderivatives, we present Fermat's rules as necessary conditions for an optimal solution of the above problems. As applications, we also provide some necessary conditions (in terms of Clarke's normal cones or the limiting normal cones) for Pareto efficient points.