| 分层不动点及变分不等式的粘性方法及应用 |
| |
| 引用本文： | 张石生,王雄瑞,李向荣,陈志坚.分层不动点及变分不等式的粘性方法及应用[J].应用数学和力学,2011,32(2):231-240. |
| |
| 作者姓名： | 张石生 王雄瑞 李向荣 陈志坚 |
| |
| 作者单位： | Department of Mathematics, Yibin University, Yibin, Sichuan 644007, P. R. China; |
| |
| 基金项目： | 宜宾学院自然科学基金的资助(2009Z03) |
| |
| 摘 要： | 介绍了处理变分不等式问题的一种分层不动点的粘性方法．这一方法所涉及的映像是非扩张的，而其解是从另一非扩张映像的不动点集中求出．在文末，还把这一结果应用于研究单调变分不等式问题、凸规划问题、分层极小化问题及在不动点集上的二次极小化问题．
|
| 关 键 词： | 分层不动点 非扩张映像 不动点 粘性逼近 分层极小化 |
| 收稿时间： | 2010-10-02 |
Viscosity Method for Hierarchical Fixed Point and Variational Inequalities With Applications |
| |
| ZHANG Shi-sheng,WANG Xiong-rui,H.W.Joseph LEE,Chi Kin CHAN.Viscosity Method for Hierarchical Fixed Point and Variational Inequalities With Applications[J].Applied Mathematics and Mechanics,2011,32(2):231-240. |
| |
| Authors: | ZHANG Shi-sheng WANG Xiong-rui HWJoseph LEE Chi Kin CHAN |
| |
| Institution: | Department of Mathematics, Yibin University, Yibin, Sichuan 644007, P. R. China; |
| |
| Abstract: | A viscosity method for a hierarchical fixed point approach to variational inequality problems was presented,which was used to solve variational inequalities where the involving mappings were nonexpansive and the solutions were sought in the set of the fixed points of another nonexpansive mapping. As applications,the results were utilized to study the monotone variational inequality problem,convex programming problem,hierarchical minimization problem and quadratic minimization problem over fixed point sets. |
| |
| Keywords: | |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《应用数学和力学》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学》下载免费的PDF全文 |
|
