| 严格渐进伪压缩映象之修正型Mann迭代算法的强收敛性 |
| |
| 引用本文： | 饶若峰. 严格渐进伪压缩映象之修正型Mann迭代算法的强收敛性[J]. 数学进展, 2010, 0(3) |
| |
| 作者姓名： | 饶若峰 |
| |
| 作者单位： | 宜宾学院数学系; |
| |
| 基金项目： | 四川省教育厅自然科学基金青年项目(No.08ZB002) |
| |
| 摘 要： | 本文利用CQ方法获得了k-严格渐进伪压缩映象修正型迭代算法的强收敛结果.此结果推广并改进了T.H.Kim和徐洪坤2006年获得的相应的一主要结果.即,从渐进非扩张映象推广到k-严格渐进伪压缩映象,并且去掉了闭凸子集C的有界性假设条件.
|
| 关 键 词： | k-严格渐进伪压缩映象 CQ方法 最近点投影 |
Strong Convergence of Modified Mann Iteration for the Strictly Asymptotically Pseudocontractive Map |
| |
| RAO Ruofeng. Strong Convergence of Modified Mann Iteration for the Strictly Asymptotically Pseudocontractive Map[J]. Advances in Mathematics(China), 2010, 0(3) |
| |
| Authors: | RAO Ruofeng |
| |
| Affiliation: | RAO Ruofeng (Department of Mathematics,Yibin College,Yibin,Sichuan,644007,P.R.China) |
| |
| Abstract: | In this paper,the author considers the CQ method,and obtains a strong convergence theorem of modified Mann iteration for a k-strictly asymptotically pseudocontractive map. The main result obtained in this paper extends and improves the corresponding main result of Kim-Xu published in 2006 from an asymptotically nonexpansive mapping to a k-strictly asymptotically pseudocontractive one,and deletes the boundedness condition on the closed convex subset C. |
| |
| Keywords: | k-strictly asymptotically pseudocontractive mapping the CQ method metric projection |
| 本文献已被 CNKI 等数据库收录！ |
