| 自反巴拿赫空间中广义变分不等式的稳定性与Tikhonov正则化 |
| |
| 引用本文： | 罗雪萍,周武.自反巴拿赫空间中广义变分不等式的稳定性与Tikhonov正则化[J].西南民族大学学报(自然科学版),2015,41(2):210-213. |
| |
| 作者姓名： | 罗雪萍 周武 |
| |
| 作者单位： | 西南民族大学,西南民族大学 |
| |
| 基金项目： | The National Natural Science Foundation of China (61379019), the Fundamental Research Funds for the Central Universities, Southwest University for Nationalities (2014NZYQN29), the Leaders in Academic and Technical Training Fund of Sichuan Province (Null). |
| |
| 摘 要： | 在自反巴拿赫空间中,介绍了广义变分不等式的Tikhonov正则化及其相关理论。首先讨论了映射被扰动变分不等式的稳定性结果。基于稳定性,给出了Tikhonov正则化的变分不等式解集的某些特征。此结果推广了该领域已有的研究结果。
|
| 关 键 词： | Tikhonov正则化 稳定性 广义变分不等式 强制条件 |
| 收稿时间： | 2014/7/7 0:00:00 |
| 修稿时间： | 2014/12/2 0:00:00 |
Stability and Tikhonov regularization for generalized variational inequality in reflexive Banach spaces |
| |
| luoxueping and zhouwu.Stability and Tikhonov regularization for generalized variational inequality in reflexive Banach spaces[J].Journal of Southwest University for Nationalities(Natural Science Edition),2015,41(2):210-213. |
| |
| Authors: | luoxueping and zhouwu |
| |
| Institution: | Southwest University for Nationalities,Southwest University for Nationalities |
| |
| Abstract: | Tikhonov regularization for generalized variational inequalities are introduced and the corresponding theory are established in reflexive Banach spaces. For this purpose, firstly the stability results of variational inequalities with the mapping perturbed are discussed in reflexive Banach spaces. Moreover, based on the above stability results, some characterizations for the solution sets of Tikhonov regularized variational inequalities are given in reflexive Banach spaces. The results presented in this paper generalize some known results in this area. |
| |
| Keywords: | Tikhonov regularization stability generalized variational inequalities coercivity conditions |
|
| 点击此处可从《西南民族大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《西南民族大学学报(自然科学版)》下载免费的PDF全文 |
