%0 Journal Article %T 集值优化问题ε-强有效解的最优性条件<br>Optimality conditions of ε-strongly efficient solutions for set-valued optimization problem %A 余 %A 丽 %J 福州大学学报(自然科学版) %D 2015 %R 10.7631/issn.1000-2243.2015.01.0011 %X 引入集值映射ε-强有效次梯度和ε-强有效次微分的概念. 在一定条件下得到该次微分的存在性定理,讨论该次微分的一些性质. 作为应用,对于一类特殊的参数扰动优化问题,研究其在ε-强有效意义下的稳定性<br>The concepts of ε-strongly efficient subgradient and ε-strongly efficient subdifferential for s set-valued map are introduced. Under some certain conditions,the existence theorem for ε-strongly efficient subdifferential is proposed,and some properties of this subdifferential are discussed. As an application,the stability problem for a kind of particular perturb optimization problem is considered in the sense of strongly efficiency %K 集值优化 ε-强有效性 次梯度 次微分 最优性条件< %K br> %K set-valued optimization ε-strongly efficiency subgradient subdifferential optimality conditions %U http://xbzrb.fzu.edu.cn/ch/reader/view_abstract.aspx?file_no=20150103&flag=1