拓扑向量空间中Gteaux可微多目标优化的充分性和对偶性(英文)

Sufficiency and duality of Gteaux differentiable multi-objective optimization in topological vector spaces

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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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. 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 Gateaux 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.

作者余国林许文超

机构地区北方民族大学信息与系统科学研究所洛阳师范学院数学科学学院

出处《四川大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第6期1233-1237,共5页 Journal of Sichuan University(Natural Science Edition)

基金国家青年自然科学基金(10901004) 国家民委自然科学基金(09BF06) 宁夏自然科学基金(NZ0959)

关键词多目标优化 Gteaux可微映射 type-Ⅰ映射对偶 multi-objective optimization, Gateaux differentiable map, type- Ⅰ map, duality

分类号 O224 [理学—运筹学与控制论]

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参考文献12

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四川大学学报（自然科学版）

2010年第6期

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拓扑向量空间中Gteaux可微多目标优化的充分性和对偶性(英文)

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