| 一致拟Lipschitzian映象的迭代逼近 |
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| 引用本文： | 黄小平,李雪松. 一致拟Lipschitzian映象的迭代逼近[J]. 电子科技大学学报(社会科学版), 2006, 0(4) |
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| 作者姓名： | 黄小平 李雪松 |
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| 作者单位： | 成都纺织高等专科学校教务处 成都610023(黄小平)，四川大学数学学院 成都610064(李雪松) |
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| 摘 要： | 针对Banach空间中有界凸集上的一致拟Lipschitzian映象S和T,给出并证明了S和T不必连续的带误差的Ishikawa迭代序列收敛到其公共不动点的一个充要条件。
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| 关 键 词： | Banach空间 Cauchy序列 一致拟Lipschitzian映象 带误差的Ishikawa迭代序列 |
Iterative Approximation for Uniformly Quasi-Lipschitzian Mappings |
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| HUANG Xiao-ping,LI Xue-song. Iterative Approximation for Uniformly Quasi-Lipschitzian Mappings[J]. Journal of University of Electronic Science and Technology of China(Social Sciences Edition), 2006, 0(4) |
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| Authors: | HUANG Xiao-ping LI Xue-song |
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| Affiliation: | HUANG Xiao-ping1,LI Xue-song2 |
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| Abstract: | This paper studies the uniformly quasi-Lipschitzian mappings, S and T, on a bounded convex set in Banach space. S and T are defined on a bounded convex set and need not be continuous. A sufficient and necessary condition is then given and proved for Ishikawa iterative sequence with errors to converge to fixed points. |
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| Keywords: | Banach space Cauchy sequences uniformly quasi-Lipschtzian mapping Ishikawa iterative sequence with errors |
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