文章摘要
引用本文:余 丽.集值优化问题ε-强有效解的最优性条件[J].福州大学学报(自然科学版),2015,43(1):11~15
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
中文关键词: 集值优化  ε-强有效性  次梯度  次微分  最优性条件
英文关键词: set-valued optimization  ε-strongly efficiency  subgradient  subdifferential  optimality conditions
基金项目:
作者单位
余 丽 宜春学院数学与计算机科学学院江西 宜春 336000 
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中文摘要:
      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
英文摘要:
      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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