| 预不变凸规划问题解集的刻画 |
| |
| 引用本文： | 赵亮,刘学文,葛凤琴.预不变凸规划问题解集的刻画[J].贵州大学学报(自然科学版),2011,28(5):1-5,9. |
| |
| 作者姓名： | 赵亮 刘学文 葛凤琴 |
| |
| 作者单位： | 1. 重庆师范大学数学学院,重庆40133l
2. 河南省扶沟县古城一中,河南周口,461300 |
| |
| 基金项目： | 国家自然科学基金资助项目(11001289); 重庆市教委科研资助项目(KJ100608) |
| |
| 摘 要： | 本文在不变凸集上定义了预不变凸函数的方向导数、η-近似次微分和η-Gateaux可微的概念，证明了预不变凸函数的η-近似次微分的一些性质，并在此基础上得到了预不变凸规划问题解集的等价刻画。
|
| 关 键 词： | 预不变凸函数 方向导数 η-Gateaux可微 η-近似次微分 凸规划 |
Characterizations of the Solution Sets of Preinvex Programming |
| |
| ZHAO Liang,LIU Xue-wen,GE Feng-qin.Characterizations of the Solution Sets of Preinvex Programming[J].Journal of Guizhou University(Natural Science),2011,28(5):1-5,9. |
| |
| Authors: | ZHAO Liang LIU Xue-wen GE Feng-qin |
| |
| Institution: | ZHAO Liang1,LIU Xue-wen1,GE Feng-qin2(1.College of Mathematics Science,Chongqing Normal University,Chongqing 401331,China,2.Gucheng No.1 Middle School,Zhoukou 461300,China) |
| |
| Abstract: | Directional derivative,η-proximal subdifferential and η-Gateaux differentiable of preinvex functions are defined on the invex set.Some properties of η-proximal subdifferential of preinvex functions are obtained.Under these conditions,we obtained the equivalent characterizations of the solution sets of preinvex programming. |
| |
| Keywords: | Preinvex functions directional derivative η-Gateaux differentiable η-proximal subdifferential convex programming |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
