|
|||||
|
|
| Hilbert空间中关于松弛协强制映射的一类新的广义变分不等式组 | |
| 引用本文： | 刘英,陈永利. Hilbert空间中关于松弛协强制映射的一类新的广义变分不等式组[J]. 应用数学, 2009, 22(4) |
| 作者姓名： | 刘英 陈永利 |
| 作者单位： | 1. 河北大学数学与计算机学院,河北,保定,071002 2. 华北电力大学科技学院,河北,保定,071051 |
| 摘 要： | 在本文中,我们首先引入了一类新的关于松弛协强制映射的广义变分不等式组,通过用度量投影的方法,我们证明了这类广义变分不等式组解的存在性和唯一性.我们也建立了一类新的算法来逼近这一不等式组的解,本文的结果使得近期相关结果成为本文的特殊情况. |
| 关 键 词： | 松弛协强制映射 广义变分不等式组 度量投影 非扩张映射 Lipschitz-连续 迭代序列 |
A New System of Generalized Variational Inequalities for Relaxed Cocoercive Mappings in Hilbert Spaces |
|
| LIU Ying,CHEN Yong-Li. A New System of Generalized Variational Inequalities for Relaxed Cocoercive Mappings in Hilbert Spaces[J]. Mathematica Applicata, 2009, 22(4) | |
| Authors: | LIU Ying CHEN Yong-Li |
| Abstract: | In this paper,we first introduce a new system of generalized variational inequalities involving relaxed cocoercive mappings in Hilbert space.By using the projection method,we prove the existence and uniqueness of solutions for this new system of generalized variational inequalities.We also construct a new algorithm for approximating the solution of this system.The results presented in this paper extend and improve many related results. |
| Keywords: | Relaxed cocoercive mapping System of generalized variational inequalities Metric projection Nonexpansive mapping Lipschitz continuity Iterative sequence |
| 本文献已被 万方数据 等数据库收录！ | |