| 集值优化问题在Henig真有效解意义下的导数型最优性条件 |
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| 引用本文： | 李文敏,高国荣,卢恩双,韩有攀. 集值优化问题在Henig真有效解意义下的导数型最优性条件[J]. 纯粹数学与应用数学, 2010, 26(4): 620-625. DOI: 10.3969/j.issn.1008-5513.2010.04.016 |
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| 作者姓名： | 李文敏 高国荣 卢恩双 韩有攀 |
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| 作者单位： | 西北农林科技大学理学院,陕西,杨凌,712100;西安交通大学理学院,陕西,西安,710049 |
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| 基金项目： | 西北农林科技大学人才引进基金 |
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| 摘 要： | 给出实的赋范空间中集值映射的Henig真有效解集的一些性质,并利用集值映射的相依上图导数和集值映射的次微分给出了集值优化问题Henig真有效解的最优性条件的充要条件.
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| 关 键 词： | 集值优化 Henig真有效解 最优性 相依上图导数 |
The derivative-type optimality condition of set-valued optimization problem under Henig proper efficient solution |
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| LI Wen-min,GAO Guo-rong,LU En-shuang,HAN You-pan. The derivative-type optimality condition of set-valued optimization problem under Henig proper efficient solution[J]. Pure and Applied Mathematics, 2010, 26(4): 620-625. DOI: 10.3969/j.issn.1008-5513.2010.04.016 |
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| Authors: | LI Wen-min GAO Guo-rong LU En-shuang HAN You-pan |
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| Affiliation: | 1.School of Sciences, Northwest Agriculture and Forestry University, Yangling 712100, China; 2.School of Sciences, Xi＇an Jiaotong University, Xi＇an 710049, China) |
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| Abstract: | In real normed space, some characterizations of Henig proper efficient solution set of set-valued map are given. Then, by the aid of contingent epiderivative and subdifferentials of set-valued maps, the sufficient and necessary conditions of Henig proper efficiency solution of set-valued optimization problem are established, respectively. |
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| Keywords: | set-valued optimization Henig proper efficient solution optimality contingent epiderivative |
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