应用数学2006，Vol.19Issue(2)：289-295,7.
目标函数扰动的集值优化问题的稳定性
The Stability of Set-valued Optimization Problems under Perturbed Objective Function
摘要
Abstract
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.关键词
集值优化/适定性/稳定性/上半连续Key words
Set-valued optimization/Well-posedness/Stability/Upper semicontinuous分类
数理科学引用本文复制引用
侯震梅,周勇..目标函数扰动的集值优化问题的稳定性[J].应用数学,2006,19(2):289-295,7.基金项目
Supported by National Science Foundation (69972036) （69972036）
