| 拓扑向量空间中G(a)teaux可微多目标优化的充分性和对偶性 |
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| 引用本文： | 余国林,许文超.拓扑向量空间中G(a)teaux可微多目标优化的充分性和对偶性[J].四川大学学报(自然科学版),2010,47(6). |
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| 作者姓名： | 余国林 许文超 |
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| 基金项目： | 国家青年自然科学基金，国家民委自然科学基金，宁夏自然科学基金 |
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| 摘 要： | 本文研究了拓扑向量空间中的多目标优化问题的充分性和对偶性.对拓扑向量空间中G(a)teaux可微映射,引进了几类广义type-Ⅰ映射的概念并在这些广义type-Ⅰ假设下证明了一些最优性充分条件和对偶定理.
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| 关 键 词： | 多目标优化 G(a)teaux可微映射 type-Ⅰ映射 对偶 |
Sufficiency and duality of Gateaux differentiable multi-objective optimization in topological vector spaces |
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| YU Guo-Lin,XU Wen-Chao.Sufficiency and duality of Gateaux differentiable multi-objective optimization in topological vector spaces[J].Journal of Sichuan University (Natural Science Edition),2010,47(6). |
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| Authors: | YU Guo-Lin XU Wen-Chao |
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| Abstract: | In this paper,the authors deal with the sufficiency and duality for a multi-objective optimization problem where all functions involved are defined on locally convex Hausdorff topological vector spaces.Several classes of generalized type-Ⅰ mappings are introduced for G(a)teaux differentiable mappings between locally convex Hausdorff topological vector spaces.Based upon these generalized type-Ⅰmappings,they obtain a few sufficient optimality conditions and prove some results on duality. |
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| Keywords: | multi-objective optimization G(a)teaux differentiable map type-Ⅰ map duality |
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