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

作　　者：余国林[1] 许文超[2] 

机构地区：[1]北方民族大学信息与系统科学研究所,银川750021 [2]洛阳师范学院数学科学学院,洛阳471022

出　　处：《四川大学学报（自然科学版）》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)

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.

关 键 词：多目标优化 Gteaux可微映射 type-Ⅰ映射 对偶 

分 类 号：O224[理学—运筹学与控制论]