| 关于一种严格伪压缩映象Mann迭代序列的强收敛性 |
| |
| 引用本文： | 黄建锋,王元恒.关于一种严格伪压缩映象Mann迭代序列的强收敛性[J].浙江师范大学学报(自然科学版),2006,29(4):378-381. |
| |
| 作者姓名： | 黄建锋 王元恒 |
| |
| 作者单位： | 浙江师范大学,数理与信息工程学院,浙江,金华,321004 |
| |
| 摘 要： | 证明了在H ilbert空间中非空有界闭凸集上的严格伪压缩自映象有不动点,介绍了一种关于严格伪压缩映象的M ann迭代序列并证明了其强收敛于不动点,其结果把非扩展映象推广到严格伪压缩映象,从而推广了近代一些相关结果.
|
| 关 键 词： | 严格伪压缩映象 强收敛 度量投影 不动点 半闭映象 |
| 文章编号： | 1001-5051（2006）04-0378-04 |
| 收稿时间： | 2006-03-26 |
| 修稿时间： | 2006-09-11 |
The strong convergence of a modified Mann iteration for strictly pseudocontractive maps |
| |
| HUANG Jianfeng,WANG Yuanheng.The strong convergence of a modified Mann iteration for strictly pseudocontractive maps[J].Journal of Zhejiang Normal University Natural Sciences,2006,29(4):378-381. |
| |
| Authors: | HUANG Jianfeng WANG Yuanheng |
| |
| Institution: | College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua Zhejiang 32100d, China |
| |
| Abstract: | A strictly pseudocontractive map from a nonempty bounded closed convex subset of a Hilbert space into itself was showed to have fixed points.An iterative sequence of modified Mann type for strictly pseudocontractive maps was introduced and a modified Mann iteration processes strongly converges to a fixed point was proved.The results improved and extended some recent results. |
| |
| Keywords: | strictly pseudocontractive map strong convergence metric projection fixed points demiclosed maps |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
