| 有限个渐进非扩张非自映象的强收敛定理 |
| |
| 引用本文： | 傅秋平,谷峰.有限个渐进非扩张非自映象的强收敛定理[J].杭州师范学院学报(自然科学版),2008,7(3):172-176. |
| |
| 作者姓名： | 傅秋平 谷峰 |
| |
| 作者单位： | 杭州师范大学理学院,浙江杭州,310036 |
| |
| 基金项目： | 浙江省自然科学基金
,
浙江省教育厅资助项目 |
| |
| 摘 要： | 设E是一致凸Banach空间，C是E的非空闭凸子集，而且C也是E的非扩张收缩核，设{Ti}No=1：C→E是N个渐进拟非扩张非自映象，定义新的迭代序列{xn}，该文证明了，若F=∩Ni=1F（Ti）≠φ且存在某Tl（1≤l≤N）是半紧的，则迭代序列{xn}强收敛于{Ti}Ni=1的公共不动点．该文结果也改进和推广了一些人的最新结果．
|
| 关 键 词： | 隐迭代序列 强收敛 渐进拟非扩张非自映象 一致凸Banach空间 公共不动点 |
| 文章编号： | 1674-232X(2008)03-0172-05 |
| 修稿时间： | 2008年1月3日 |
Strong Convergence Theorem of a Finite Family of Nonexpansive Non-self Mappings |
| |
| FU Qiu-ping,GU Feng.Strong Convergence Theorem of a Finite Family of Nonexpansive Non-self Mappings[J].Journal of Hangzhou Teachers College(Natural Science),2008,7(3):172-176. |
| |
| Authors: | FU Qiu-ping GU Feng |
| |
| Institution: | (College of Sciences, Hangzhou Normal University, Hangzhou 310036, China) |
| |
| Abstract: | Let E be a real uniformly convex Banach space and C be a nonempty closed convex subset of E which is also a nonexpansive retract of E. Let {Ti}Ni=1：C→E be N asymptotically quasi-nonexpansive non-self mappings. A new iterative N sequence {xn } is defined. The paper also proves that if F=∩Ni=1F（Ti）≠φ and let there exist an Tl , 1 ≤l≤ N, which issemi-compact, then the sequence {xn }converges strongly to some common fixed point of {Ti}Ni=1. The results presented in this paper also extend and improve some recent results. |
| |
| Keywords: | implicit iteration process asymptotically nonexpansive non-self map uniformly convex Banaeh space common fixed point |
| 本文献已被 维普 万方数据 等数据库收录！ |
