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| 渐近非膨胀映象的收敛性问题 | |
| 引用本文： | 胡良根.渐近非膨胀映象的收敛性问题[J].宁波大学学报(理工版),2005,18(1):12-15. |
| 作者姓名： | 胡良根 |
| 作者单位： | 宁波大学,理学院,浙江,宁波,315211 |
| 摘 要： | 在一致凸的Banach空间中，使用了一种新的证明方法研究了渐近非膨胀映象具误差的修正Mann和Ishikawa迭代程序的收敛性问题；并且不要求定义域和值域有界，迭代系数更为简单． |
| 关 键 词： | 一致凸Banach空间 渐近非膨胀映象 具误差的修正Ishikawa迭代程序 具误差的修正Mann迭代程序 |
| 文章编号： | 1001-5132(2005)01-0012-04 |
| 修稿时间： | 2004年10月26 |
Problem of Convergence for Asymptotically Nonexpansive Mappings |
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| HU Liang-gen.Problem of Convergence for Asymptotically Nonexpansive Mappings[J].Journal of Ningbo University(Natural Science and Engineering Edition),2005,18(1):12-15. | |
| Authors: | HU Liang-gen |
| Abstract: | A new proof method is introduced to study the convergence problems of the modified Mann and Ishikawa iterative process with errors for asymptotically nonexpansive mappings in uniformly convex Banach spaces. The bounded of the domain and range can be unbounded, and the iterative coefficient is simpler. |
| Keywords: | uniformly convex Banach spaces asymptotically nonexpansive mapping modified Ishikawa iterative sequence with errors modified Mann iterative sequence with errors |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |