| 广义渐近拟非扩张映射不动点的收敛性 |
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| 引用本文： | 吴婷.广义渐近拟非扩张映射不动点的收敛性[J].四川理工学院学报(自然科学版),2007,20(6):27-31. |
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| 作者姓名： | 吴婷 |
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| 作者单位： | 重庆师范大学数学与计算机科学学院,重庆,400047 |
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| 摘 要： | 在凸度量空间中,引入一类比渐近拟非扩张映射更加广泛的广义渐近拟非扩张型映射,并在完备凸度量空间给出修改的Ishikawa迭代序列收敛于广义渐近拟非扩张型映射不动点的充要条件。
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| 关 键 词： | 完备凸度量空间 广义渐近拟非扩张型映射 修改的Ishikawa迭代序列 不动点 |
| 文章编号： | 1673-1549（2007）06-0027-05 |
| 收稿时间： | 2007-04-25 |
| 修稿时间： | 2007年4月25日 |
Convergence of Generalized Asymptotically Quasi-nonexpansive Mappings |
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| WU Ting.Convergence of Generalized Asymptotically Quasi-nonexpansive Mappings[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2007,20(6):27-31. |
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| Authors: | WU Ting |
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| Abstract: | In convex spaces ,this paper introduces a generalized asymptotically quasi-nonexpansive type mapping--a class of mapping.which is more general than asymptotic quasi-nonexpansive type mapping and gives some necessary and sufficient conditions for the lshikawa iterative sequence to converge to a fixed point of generalized asymptotically quasi-nonexpansive type mapping in convex metric spaces. |
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| Keywords: | complete convex metric spaces generalized asymptotically quasi-nonexpansive mappings Ishikawa iterative process fixed point |
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