| 广义Tricomi条件和强伪压缩映射不动点的收敛问题 |
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| 引用本文： | 常进荣.广义Tricomi条件和强伪压缩映射不动点的收敛问题[J].云南师范大学学报(自然科学版),2006,26(3):5-7. |
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| 作者姓名： | 常进荣 |
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| 作者单位： | 昆明学院,数学系,云南,昆明,650031 |
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| 摘 要： | 引入广义Tricomi条件且研究在Ishikawa迭代过程下，强伪压缩映射不动点的收敛性问题，由于所得主要结果不涉及Lipschitz连续性和T的值域的有界性，因此，改进了该问题研究上的一些已有的结论。
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| 关 键 词： | 对偶映射 一致光滑的Banach空间 Ishikawa迭代序列 广义Tricomi条件 |
| 文章编号： | 1007-9793(2006)03-0005-03 |
| 收稿时间： | 2005-12-08 |
| 修稿时间： | 2005年12月8日 |
The generalized Tricomi condition and the convergence problem of fixed points for strongly pseudo-contractive mapping |
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| CHANG Jing-rong.The generalized Tricomi condition and the convergence problem of fixed points for strongly pseudo-contractive mapping[J].Journal of Yunnan Normal University (Natural Sciences Edition),2006,26(3):5-7. |
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| Authors: | CHANG Jing-rong |
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| Institution: | Department of Mathematics, Kunming College, Kunming 650031, China |
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| Abstract: | The purpose of this paper is to introduce the generalized Tricomi condition and to study the convergence problem of the fixed points for a strongly pseudo-contractive mapping without the Lipschitz condition and the boundedness of the range by Ishikawa iterative process. The results presented in this paper improve and extend the corresponding one have obtained. |
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| Keywords: | duality mapping uniformly smooth Banach Space Ishikawa iteration sequence generalized Tricomi condition |
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