| 王元恒,曾六川.Banach空间中广义投影变形迭代法的收敛性[J].数学年刊A辑,2009,30(1):55~62 |
| Banach空间中广义投影变形迭代法的收敛性 |
| Convergence of Generalized Projective Modified Iteration Methods in Banach Spaces |
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| DOI： |
| 中文关键词: 非自映象 广义投影算子 变形迭代 渐近弱压缩映象 |
| 英文关键词:Non-self mapping, Generalized projective operator, Modified iteration,
Asymptotically weak contractive mapping |
| 基金项目:国家自然科学基金 |
| Author Name | Affiliation | E-mail | | WANG Yuanheng | Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhe-
jiang, China
Department ofMathematics, Shanghai Normal University, Shang-
hai 200234, China. | wangyuanheng@yahoo.com.cn | | ZENG Liuchuan | Department of Mathematics, Shanghai Normal University, Shanghai 200234,
China. | zenglc@hotmail.com |
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| 中文摘要: |
| 在Banach空间中,应用新的广义投影方法和变形的逐次逼近方法以及变形的Mann迭代序列方法,研究了渐近弱压缩非自映象T:G→B的不动点迭代过程的强收敛性.其结果推广了一些最近相应的结果,其方法不同于其他作者的方法. |
| 英文摘要: |
| This paper studies strong convergence of fixed points iteration process for the
non-self mapping T : G 7→ B, which is called the asymptotically weak contractive mapping,
by using the brand-new generalized projection method and modified successive approxima-
tion methods or the modified Mann iterative sequence method in Banach spaces. |
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