| 锥似凸映射下集值优化Henig有效解的高阶最优性条件(英文) |
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| 引用本文： | 张健,王其林.锥似凸映射下集值优化Henig有效解的高阶最优性条件(英文)[J].数学季刊,2011(3):415-419. |
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| 作者姓名： | 张健 王其林 |
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| 作者单位： | Section for Test Design;Chongqing Education Examinations Authority;College of Sciences;Chongqing Jiaotong University; |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10871216); Supported by the Science and Technology Research Project of Chongqing Municipal Education Commission(KJ100419); Supported by the Natural Science Foundation Project of CQ CSTC(cstcjjA00019) |
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| 摘 要： | This paper deals with higher-order optimality conditions for Henig effcient solutions of set-valued optimization problems.By virtue of the higher-order tangent sets, necessary and suffcient conditions are obtained for Henig effcient solutions of set-valued optimization problems whose constraint condition is determined by a fixed set.
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| 关 键 词： | higher-order contingent（adjacent）set Henig effcient solutions higher-order optimality conditions set-valued optimization |
Higher-order Optimality Conditions for Henig Effcient Solution in Set-valued Optimization under Cone-convexlike Maps |
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| ZHANG Jian,WANG Qi-lin.Higher-order Optimality Conditions for Henig Effcient Solution in Set-valued Optimization under Cone-convexlike Maps[J].Chinese Quarterly Journal of Mathematics,2011(3):415-419. |
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| Authors: | ZHANG Jian WANG Qi-lin |
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| Institution: | ZHANG Jian1,WANG Qi-lin2 (1.Section for Test Design,Chongqing Education Examinations Authority,Chongqing 401147,China,2.College of Sciences,Chongqing Jiaotong University,Chongqing 400074,China) |
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| Abstract: | This paper deals with higher-order optimality conditions for Henig effcient solutions of set-valued optimization problems.By virtue of the higher-order tangent sets, necessary and suffcient conditions are obtained for Henig effcient solutions of set-valued optimization problems whose constraint condition is determined by a fixed set. |
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| Keywords: | higher-order contingent(adjacent)set Henig effcient solutions higher-order optimality conditions set-valued optimization |
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