| Banach空间中渐近拟非扩展型映象不动点的迭代逼近 |
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| 引用本文： | 王绍荣,王彭德. Banach空间中渐近拟非扩展型映象不动点的迭代逼近[J]. 数学杂志, 2005, 25(6): 650-654 |
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| 作者姓名： | 王绍荣 王彭德 |
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| 作者单位： | 大理学院数学系,云南,大理,671000 |
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| 基金项目： | 大理学院科研基金资助项目（2002X42）. |
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| 摘 要： | 本文研究了一致凸Banach空间中渐近拟非扩展型映象和渐近非扩展型映象T的不动点的迭代逼近问题.利用范数不等式，在去掉[3]中一个较强条件的情况下，证明了T的具误差的Ishikawa迭代序列中收敛于T的某个不动点.所得定理推广和改进了已有的部分结果。
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| 关 键 词： | 近拟非扩展型映象 不动点 迭代序列 |
| 文章编号： | 0255-7797（2005）06-0650-05 |
| 收稿时间： | 2003-06-02 |
| 修稿时间： | 2003-06-022004-06-08 |
THE ITERATIVE APPROXIMATION PROBLEM FOR THE FIXED POINTS OF ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN BANACH SPACES |
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| WANG Shao-rong,WANG Peng-de. THE ITERATIVE APPROXIMATION PROBLEM FOR THE FIXED POINTS OF ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN BANACH SPACES[J]. Journal of Mathematics, 2005, 25(6): 650-654 |
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| Authors: | WANG Shao-rong WANG Peng-de |
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| Affiliation: | Dept. of Math. , Dali University,Dali 671000, China |
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| Abstract: | The purpose of this paper is to investigate the iterative approximation problem of fixed points for the asymptotically quasi-nonexpansive type mapping and asymptotically nonexpansive type mapping T in uniformly convex Banach spaces. By using the norm inequality, without the condition of [3] it is proved that the Ishikawa iterative sequences with errors converge strongly to a fixed point of T. The results improve and extend some results known previously. |
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| Keywords: | asymptotically quasi-nonexpansive type mapping fixed points iterative sequence with errors |
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