摘要
本文研究了由目标函数扰动的集值优化问题的有效点集所定义的集值映射的半连续性.讨论了目标函数扰动的集值优化问题在上半连续意义下的稳定性.特别地,在广义适定性条件下,证明了集值优化问题在上半连续意义下的稳定性.
In this paper,we discuss the semicontinuity of set-valued mapping defined by the set of efficient points of set-valued optimization problems under perturbed objective function. We study the stability of set-valued optimization problems under perturbed objective function in the sense of upper semicontinuous. Especially. the stability of set-valued optimization problems is presented in the sense of upper semicontinuous under condition that the problem is extended well-posed.
出处
《应用数学》
CSCD
北大核心
2006年第2期289-295,共7页
Mathematica Applicata
基金
SupportedbyNationalScienceFoundation(69972036)
关键词
集值优化
适定性
稳定性
上半连续
Set-valued optimization
Well-posedness
Stability
Upper semicontinuous
