有效点和弱有效点的稳定性  

Stability of Efficient Points and Weak Efficient Points

作　　者：宋军[1] 龚循华[1] 

机构地区：[1]南昌大学数学系,江西南昌330047

出　　处：《南昌大学学报（理科版）》2006年第3期205-208,共4页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(10561007);南昌大学基础理论基金资助项目(Z-2491)

摘　　要：利用集合序列的P-K收敛的概念,在控制锥是正则锥但未必具有有界基的情况下,讨论了向量值优化和集值优化问题的有效点的稳定性,改进了[2]中相应的结论。另外,还给出了向量值优化和集值优化问题的弱有效点的稳定性,得到了线性算子下的稳定性结果。This paper investigates the stability of the sets of efficient points of vector - valued and set - valued optimization problems when the control cone is regular but need not have a bounded base in the sense of Painleve - Kuratowski convergence of set sequence. Our results improve those obtained by X. X. Huang in [ 1 ]. Besides this,this paper also investigates the stability of the sets of weak efficient points of vector - valued and set - valued optimization problems and obtains the stability result under the linear operators.

关 键 词：有效点 P—K收敛 正则锥 稳定性 

分 类 号：O221.2[理学—运筹学与控制论]