学术
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．[著者文摘]
文章出处:
《应用数学》-2006年19卷2期 -289-295页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2006）02-0289-07
The Stability of Set-valued Optimization Problems under Perturbed Objective Function
HOU Zhen-mei,ZHOU Yong （Department of Statistics, Xinjiang institute of Finance and Economics , Urumqi 830012, China ）
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.[著者文摘]
Key words:
Set-valued optimization; Well-posedness; Stability; Upper semicontinuous
基金资助:
Supported by National Science Foundation （69972036）
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