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用广义高阶导数刻画集值优化ε-严有效解 被引量：2

The characterizations of ε-strictly efficient solutions of set-valued optimization with generalized higher-order derivatives
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摘要 在实赋范线性空间中讨论了集值优化问题ε-严有效解的广义高阶导数型最优性条件.利用广义高阶切集,在没有任何凸性假设下,借助基泛函及ε-严有效解的性质,得到了集值优化问题ε-严有效解的广义高阶导数型的必要和充分条件. The generalized higher-order derivatives optimality conditions for ε -strictly efficient solutions of set-valued optimization problems is discussed in real normed spaces. By virtue of the generalized higher-order tangent sets introduced, without any convexity assumption, by employing the properties of basic functional and ε -strictly efficient element, necessary and sufficient conditions are obtained forε -strictly efficient solutions for set-valued optimization problems.
作者 余丽
机构地区 宜春学院数学与计算机科学学院
出处 《东北师大学报（自然科学版）》 CAS CSCD 北大核心 2014年第2期35-39,共5页 Journal of Northeast Normal University(Natural Science Edition)
基金 江西省自然科学基金资助项目(20122BAB211004) 江西省教育厅科技项目(GJJ13696)
关键词 ε-严有效解 广义m-阶切导数 必要条件 充分条件 ε - strictly efficient solutions generalized m - higher-order contingent derivatives necessarycondition sufficient condition
分类号 O224 [理学—运筹学与控制论]
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共引文献39

同被引文献5

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引证文献2

东北师大学报（自然科学版）
2014年 第2期

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