| q-一致光滑Banach空间中严格伪压缩映象的黏性逼近 |
| |
| 引用本文： | 徐天华.q-一致光滑Banach空间中严格伪压缩映象的黏性逼近[J].吉林大学学报(理学版),2010,48(1):39-44. |
| |
| 作者姓名： | 徐天华 |
| |
| 作者单位： | 四川民族学院 数学系, 四川 康定 626001 |
| |
| 基金项目： | 四川省教育厅重点项目基金(批准号:08ZA044);;四川民族学院资助项目(批准号:川民院研发2009[8]) |
| |
| 摘 要： | 设E是一实的q-一致光滑Banach空间,C是E的一非空闭凸子集,Ti:C→C(i=1,2,…,N)是一有限簇严格伪压缩映象,且∩Ni=1F(Ti)≠ф.在一定条件下,用黏性逼近法证明了修订的Mann迭代序列强收敛于T1,T2,…,TN的公共不动点.
|
| 关 键 词： | 严格伪压缩映象 q-一致光滑 黏性逼近 公共不动点 |
| 收稿时间： | 2009-05-14 |
Viscosity Approximation Methods for Strict Pseudo-Contraction in q-Uniformly Smooth Banach Spaces |
| |
| XU Tian-hua.Viscosity Approximation Methods for Strict Pseudo-Contraction in q-Uniformly Smooth Banach Spaces[J].Journal of Jilin University: Sci Ed,2010,48(1):39-44. |
| |
| Authors: | XU Tian-hua |
| |
| Institution: | Department of Mathematics, Sichuan University for Nationalities, Kangding 626001, Sichuan Province, China |
| |
| Abstract: | Let C be a closed convex subset of real q-uniformly smooth Banach space,and Ti: C→C(i=1,2,…,N) be a finite family of strict pseudo-contractive mappings such that ∩_(i=1)~NF(T_i)≠Φ.It is shown via viscosity approximation methods that under some suitable conditions,the modification of the Mann iteration sequence converges strongly to a common fixed point of T_1,T_2,…,TN. |
| |
| Keywords: | strict pseudo-contractive mapping q-uniformly smooth viscosity approximation common fixed point |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
|
