摘要
建立了约束向量优化问题的有限理性模型.利用这个模型给出了约束向量优化问题的Levitin-Polyak良定性和Hadamard良定性概念且更进一步统一了两种不同类型良定性的概念.在一个抽象的框架下,给出了约束向量优化问题的各种良定性的充分条件.
A bounded rationality model M for constrained vector optimization problems is established in this paper .Using this model ,the notions of Hadamard well-posedness and Levitin-Polyak well-posedness for vector optimization problems with constraints are introduced .Furthermore ,a new well-posedness concept , which unifies the two different notions of well-posedness is obtained .Under the abstract framework ,sufficient conditions on the well-posedness for various vector optimization problems with constraints are given .
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2014年第9期88-94,共7页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金资助项目(11161008)
教育部博士点基金资助项目(20115201110002)
贵州省科学技术基金资助项目([2012]2289
[2013]2235)
关键词
良定性
向量优化问题
有限理性模型
well-posedness
vector optimization problem
bounded rationality model
