| 广义集值变分不等式的一类新的外梯度算法 |
| |
| 引用本文： | 齐成辉,石超峰.广义集值变分不等式的一类新的外梯度算法[J].纯粹数学与应用数学,2006,22(2):194-197. |
| |
| 作者姓名： | 齐成辉 石超峰 |
| |
| 作者单位： | 咸阳师范学院数学系,陕西,咸阳,712000 |
| |
| 摘 要： | 考虑和分析了一类求解广义集值变分不等式的一类新的外梯度算法,该方法包含几个新的和已知的算法作为特例.改进了求解变分不等式及其相关的优化问题的已有的许多结果.
|
| 关 键 词： | 外梯度方法 变分不等式 伪单调算子 |
| 文章编号： | 1008-5513（2006）02-0194-04 |
| 收稿时间： | 2005-08-05 |
| 修稿时间： | 2005年8月5日 |
New extragradient-type methods for generalized set-valued variational inequalities |
| |
| QI Cheng-hui,SHI Chao-feng.New extragradient-type methods for generalized set-valued variational inequalities[J].Pure and Applied Mathematics,2006,22(2):194-197. |
| |
| Authors: | QI Cheng-hui SHI Chao-feng |
| |
| Institution: | Department of Mathematics,Xianyang Normal University, Xianyang 712000,China |
| |
| Abstract: | In this paper,we consider and analyze a new class of extragradient-type methods for solving generalized set-valued variational inequalities.The proposed methods include several new and known methods as special cases.Our results present a significant improvement of previously known methods for solving variational inequalities and related optimization problems. |
| |
| Keywords: | extragradient methods variational inequality pseudomonotone |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
