Merit functions in vector optimization

• 成果类型: Article
• 署名作者: Liu, C. G.; Ng, K. F.; Yang, W. H.
• 署名单位: Jinan University; Chinese University of Hong Kong; Fudan University
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-008-0208-y
• 发表日期: 2009
• 页码: 215-237
• 关键词: error-bounds; optimality conditions; 2nd-order conditions; scalarization; EFFICIENCY; set

摘要

We study the weak domination property and weakly efficient solutions in vector optimization problems. In particular scalarization of these problems is obtained by virtue of some suitable merit functions. Some natural conditions to ensure the existence of error bounds for merit functions are also given.