| 集值优化问题Benson真有效解的高阶Fritz John型最优性条件 |
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| 引用本文： | 王其林.集值优化问题Benson真有效解的高阶Fritz John型最优性条件[J].运筹学学报,2009,13(3). |
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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,400074;重庆大学数理学院,重庆,400044 |
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| 基金项目： | This research was supported by the National Natural Science Foundation of China，Natural Science Foundation of CQ，the Excellent Young Teachers Program of Chongqing Jiaotong University |
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| 摘 要： | 本文讨论的是集值优化问题Benson真有效解的高阶Fritz John型最优性条件,利用Aubin和Fraukowska引入的高阶切集和凸集分离定理,在锥-似凸映射的假设条件下,获得了带广义不等式约束的集值优化问题Benson真有效解的高阶Fritz John型必要和充分性条件.
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| 关 键 词： | 运筹学 m-阶相依(邻近)集 锥-似凸映射 集值优化问题 Benson真有效解 m-阶Fritz John型条件 |
Higher-Order Fritz John Type Optimality Conditions for Benson Proper Efficient Solutions in Set-Valued Optimization Problems |
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| Wang Qilin.Higher-Order Fritz John Type Optimality Conditions for Benson Proper Efficient Solutions in Set-Valued Optimization Problems[J].OR Transactions,2009,13(3). |
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| Authors: | Wang Qilin |
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| Abstract: | This paper deals with higher-order Fritz John type optimality conditions for Benson proper efficient solutions of set-valued optimization problems. By virtue of the higher-order tangent sets introduced by Aubin and Frankowska and the separation theorem of convex sets, we obtained higher-order Fritz John type necessary and suffi-cient optimality conditions for Benson proper efficient solutions of set-valued optimization problems with generalized inequality constraints under the assumption of cone-convexlike maps. |
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| Keywords: | Operations research set-valued optimization problems ruth-order con-tingent (adjacent) sets cone-convexlike set-valued maps Benson proper efficient solutions ruth-order Fritz John type conditions |
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