| Bregman弱相对非扩张映象与均衡问题的强收敛定理 |
| |
| 引用本文： | 朱胜,黄建华,万丙晟.Bregman弱相对非扩张映象与均衡问题的强收敛定理[J].四川大学学报(自然科学版),2016,53(3):471-477. |
| |
| 作者姓名： | 朱胜 黄建华 万丙晟 |
| |
| 作者单位： | 福建省福州大学 |
| |
| 摘 要： | 本文在自反Banach空间中对可数族Bregman弱相对非扩张映象的不动点集与均衡问题解集的公共元引入一种新的混合迭代算法.在对参数进行适当限制后,本文证明了此迭代算法产生的序列具有强收敛性.
|
| 关 键 词： | 均衡问题 Bregman弱相对非扩张非扩张映象 Bregman距离 |
| 收稿时间： | 6/2/2015 12:00:00 AM |
| 修稿时间： | 2015/6/29 0:00:00 |
Convergence theorems for a common solution of Bregman weak relatively nonexpansive mappings and equilibrium problem |
| |
| ZHU Sheng,HUANG Jian-Hua and WAN Bing-Sheng.Convergence theorems for a common solution of Bregman weak relatively nonexpansive mappings and equilibrium problem[J].Journal of Sichuan University (Natural Science Edition),2016,53(3):471-477. |
| |
| Authors: | ZHU Sheng HUANG Jian-Hua and WAN Bing-Sheng |
| |
| Institution: | College of Mathematics and Computer Science, Fuzhou University,College of Mathematics and Computer Science, Fuzhou University and Newspapers and Periodicals Offices, Fujian Institute of Education |
| |
| Abstract: | Abstract: In this paper, we propose a new hybrid iterative scheme for finding a common solution to equilibrium problem and fixed point of Bregman weak relatively nonexpansive mappings in reflexive Banach spaces. Moreover, we prove the strong convergence theorems for the sequences produced by the methods under some suitable assumptions. |
| |
| Keywords: | equilibrium problem Bregman weak relatively nonexpansive mappings Bregman distance |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《四川大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《四川大学学报(自然科学版)》下载免费的PDF全文 |
