|
|||||
|
|
| 关于一类非线性映射迭代序列收敛的等价性 | |
| 引用本文： | 王亚宁.关于一类非线性映射迭代序列收敛的等价性[J].石家庄铁道学院学报(社会科学版),2009(3):95-97. |
| 作者姓名： | 王亚宁 |
| 作者单位： | 石家庄铁道学院 数理系 |
| 摘 要： | 对任意实Banach空间中的广义Φ 压缩映射分别证明了Mann迭代序列与Noor迭代序列收敛的等价性以及Mann迭代序列与Ishikawa迭代序列收敛的等价性，所得的结果是2005年S.M.Soltuz和2007年Xue Zhiqun等人结果的相应推广与改进。 |
| 关 键 词： | 广义Φ 压缩映射 不动点 Noor迭代序列 Mann迭代序列 Ishikawa迭代序列 |
| 收稿时间： | 2009/5/5 0:00:00 |
The Equivalence of Iterative Sequences Convergence for a Class of Nonlinear Mappings |
|
| Authors: | Wang Yaning |
| Institution: | Department of Mathematics and Physics, Shijiazhuang Railway Institute |
| Abstract: | In arbitrary Banach spaces, it is shown that the convergence of Mann iteration is equivalent to Noor iteration sequence, and the convergence of Mann iteration is equivalent to Ishikawa iteration sequence for generalized contractive mappings. These results extend and improve corresponding results of S. M. Soltuz in 2005, Xue Zhiqun in 2007 and others. |
| Keywords: | generalized contractive mappings fixed point Noor iteration sequence Mann iteration sequence Ishikawa iteration sequence |
| 点击此处可从《石家庄铁道学院学报(社会科学版)》浏览原始摘要信息 | |
| 点击此处可从《石家庄铁道学院学报(社会科学版)》下载免费的PDF全文 | |