| 用广义梯度刻画集值优化的强有效解 |
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| 引用本文： | 傅湧.用广义梯度刻画集值优化的强有效解[J].江西师范大学学报(自然科学版),2009,33(1). |
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| 作者姓名： | 傅湧 |
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| 作者单位： | 宜春学院,数学与计算机科学学院,江西,宜春,336000 |
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| 摘 要： | 在锥序Banach空间中利用集值映射的上图导数引进了强有效意义下的广义梯度,在下C-半连续条件下,利用凸集分离定理证明了该广义梯度的存在性,由此建立了集值向量优化问题强有效解在广义梯度下的最优性条件.
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| 关 键 词： | 集值映射 上图导数 强有效性 广义梯度 最优性条件 |
The Characterization of Strong-Efficient Solution of Set-Valued Vector Optimization with Generalized Gradient |
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| FU Yong.The Characterization of Strong-Efficient Solution of Set-Valued Vector Optimization with Generalized Gradient[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2009,33(1). |
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| Authors: | FU Yong |
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| Institution: | Institute of Mathematics and Computer of Science Yichun University;Yichun Jiangxi 336000;China |
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| Abstract: | The concept of the generalized gradient in sense of strong efficiency is introduced by epiderivative for a set-valued map in ordered Banach spaces.Under the condition of lower semicontinuous,its existence is proved by the separation theorem for convex sets;Thus the optimality condition of strong-efficient solution of set-valued optimization problems is established in the sense of generalized gradient. |
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| Keywords: | set-valued optimization epiderivative strong-efficiency generalized gradient optimality condition |
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