摘要
在这份报纸,由使用 Ljusterniks 定理和凸的过程的开的印射定理,没有要求在客观空格的订的锥有一个 nonempty 内部,作者为向量优化问题的有效答案给必要条件。
In this paper, by using Ljusternik's theorem and the open mapping theorem of convex process, the author gives necessary conditions for the efficient solution to the vector optimization problems without requiring that the ordering cone in the objective space has a nonempty interior.
基金
supported by the Natural Science Foundation of China under Grant No.11061023
Natural Science Foundation of Jiangxi Province,China
关键词
向量优化问题
有效解
开映射定理
凸过程
Efficient solution, Frechet derivative, necessary conditions, vector optimization.