| 两类锥广义伪不变凸性的刻画 |
| |
| 引用本文： | 唐莉萍,杨新民.两类锥广义伪不变凸性的刻画[J].运筹学学报,2015,19(1):1-8. |
| |
| 作者姓名： | 唐莉萍 杨新民 |
| |
| 作者单位： | 1. 上海大学数学系，上海 200444; 2. 重庆师范大学数学科学学院，重庆 400047 |
| |
| 基金项目： | 国家自然科学基金重点项目(No.11431004), 国家自然科学基金(No.11271391) |
| |
| 摘 要： | 研究了一类非光滑带约束的向量优化问题. 首先引入锥意义下的 FJ-伪不变凸I(II)型的概念； 然后将经典的Gordan择一定理推广到了带锥的情形，并在此基础上利用FJ向量驻点与(弱)有效解间的关系, 研究了锥FJ-伪不变凸I(II)型的等价刻画.
|
| 关 键 词： | 向量优化 FJ-伪不变凸I(II)型 FJ向量驻点 (弱)有效解 |
| 收稿时间： | 2014-12-11 |
Characterizations of two classes of cone generalized pseudoinvexity |
| |
| TANG Liping,YANG Xinmin.Characterizations of two classes of cone generalized pseudoinvexity[J].OR Transactions,2015,19(1):1-8. |
| |
| Authors: | TANG Liping YANG Xinmin |
| |
| Institution: | 1. Department of Mathematics, Shanghai University, Shanghai 200444, China; 2. College of Mathematics Sciences, Chongqing Normal University, Chongqing 400047, China |
| |
| Abstract: | In this paper, a class of nonsmooth vector optimization problem with constraints is considered. The concepts of FJ-pseudoinvexity-I(II) in the sense of cone are introduced; Gordan's theorem over general cone domains is established; and then, FJ-pseudoinvexity-I(II) are characterized by the relationships between FJ vector critical points and the (weak) efficient solutions of nonsmooth vector optimization. |
| |
| Keywords: | vector optimization FJ-pseudoinvexity-I(II) FJ vector critical point (weak) efficient solution |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《运筹学学报》浏览原始摘要信息 |
| 点击此处可从《运筹学学报》下载免费的PDF全文 |
