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集值优化问题ε-强有效解的最优性条件
Optimality conditions of ε-strongly efficient solutions for set-valued optimization problem

DOI: 10.7631/issn.1000-2243.2015.01.0011

Keywords: 集值优化 ε-强有效性 次梯度 次微分 最优性条件
set-valued optimization ε-strongly efficiency subgradient subdifferential optimality conditions

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Abstract:

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
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

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