摘要
定义一类非线性标量化函数,给出具有可变锥结构的向量优化问题的DH-适定和B-适定的概念。利用这类非线性标量化函数,把具有可变锥结构的向量优化问题转化为数值优化问题,然后研究这类数值优化问题与原可变锥结构的向量优化问题适定性之间的关系。
A class of nonlinear scalarization functions is defined.DH-well posedness and B-well posedness of vector optimization problems with variable cone structure are given.By applying this nonlinear scalarization function,a vector optimization problem under variable cone structure is convert to a scalar optimization problem.Moreover,the relationships of well posedness between this class of scalar optimization problems and vector optimization problems with variable cone structure are studied.
出处
《南昌大学学报(理科版)》
CAS
北大核心
2010年第4期341-345,共5页
Journal of Nanchang University(Natural Science)
基金
国家自然科学基金资助项目(60703118)
关键词
向量优化问题
非线性标量化函数
适定性
极小序列
vector optimization problem
nonlinear scalarization function
well posedness
minimizing sequence