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中文摘要：
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Gateaux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．
英文摘要：
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.
同期刊论文项目
同项目期刊论文
Multi-objective estimation of Estimation of Distribution Algorithm based on the Simulated binary Cro
Sufficiency and Duality of Gateaux Differentiable Multi-objective Optimization in Topological Vector
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