| 锥方向高阶广义邻近导数及高阶Mond-Weir对偶(英文) |
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| 引用本文： | 王其林.锥方向高阶广义邻近导数及高阶Mond-Weir对偶(英文)[J].数学进展,2011(5). |
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| 作者姓名： | 王其林 |
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| 作者单位： | 重庆交通大学理学院;重庆大学数学与统计学院; |
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| 基金项目： | supported by NSFC(No.10871216 and No.11071267); Natural Science Foundation Project of CQ CSTC; Science and Technology Research Project of Chongqing Municipal Education Commission(No.K J100419); the Excellent Young Teachers Program of Chongqing Jiaotong University,Chongqing,China |
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| 摘 要： | 本文引入了集值映射的锥方向的高阶广义邻近导数.应用这种导数,构建了约束的集值优化问题的一种高阶Mond-Weir型对偶,并建立了相应的弱对偶,强对偶和逆对偶性,获得的结果推广了文献中的相应结论.
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| 关 键 词： | 集值优化 锥方向高阶广义邻近导数 弱极小解 高阶Mond-Weir对偶 |
Cone-directed Higher Order Generalized Adjacent Derivative and Higher Order Mond-Weir Duality |
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| WANG Qilin.Cone-directed Higher Order Generalized Adjacent Derivative and Higher Order Mond-Weir Duality[J].Advances in Mathematics,2011(5). |
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| Authors: | WANG Qilin |
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| Institution: | WANG Qilin (1.College of Sciences,Chongqing Jiaotong University,Chongqing,400074,P.R.China,2.College of Mathematics and Statistics,Chongqing University,400044,P.R.China) |
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| Abstract: | In this paper,cone-directed higher order generalized adjacent derivative for a set-valued map is defined.By virtue of the cone-directed higher order generalized adjacent derivative,a higher order Mond-Weir type dual problem for a constrained set-valued optimization problem is introduced and its weak duality,strong duality and converse duality properties are established.The results obtained improve the corresponding results in the literatures. |
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| Keywords: | set-valued optimization cone-directed higher order generalized adjacent derivative weakly minimal solutions higher order Mond-Weir duality |
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