| Lipschitz强增生算子方程逼近解的带误差的Ishikawa迭代程序 |
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| 引用本文： | 曾六川.Lipschitz强增生算子方程逼近解的带误差的Ishikawa迭代程序[J].应用泛函分析学报,2002,4(3):274-279. |
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| 作者姓名： | 曾六川 |
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| 作者单位： | 上海师范大学数学系,上海,200234 |
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| 基金项目： | 高等学校优秀青年教师教学和科研奖励基金，国家自然科学基金(19801023) |
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| 摘 要： | 设E是任意实Banach空间，T：E→E是Ligpschitz的强增生算子。证明了带误差的Ishikawa迭代序列强收敛到方程Tx=f的唯一解。特别地，还给出了Ishikawa迭代序列的收敛率估计。另一方面，一个相关结果，讨论了E中Lipschitz强伪压缩映象的不动点的带误差的Ishikawa迭代序列的收敛性。
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| 关 键 词： | 实Banach空间 Lipschitz强增生算子 Ishikawa逼近 |
| 文章编号： | 1009-1327(2002)03-0274-06 |
| 修稿时间： | 2002年5月22日 |
Ishikawa Iteration Process with Errors for Approximate Solutions to Equatoins of Lipschitz Strongly Accretive Operators |
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| ZENG Lu-chuan.Ishikawa Iteration Process with Errors for Approximate Solutions to Equatoins of Lipschitz Strongly Accretive Operators[J].Acta Analysis Functionalis Applicata,2002,4(3):274-279. |
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| Authors: | ZENG Lu-chuan |
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| Institution: | ZENG Lu-chuanDepartment of Mathematics. Shanghai Normal University,Shanghai 200234,China |
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| Abstract: | Let E be an arbitrary real Banach space, and T :E- E be a Lipschitz strongly accretive operator. It is shown that the Ishikawa iterative sequences with errors converge strongly to the unique solution of the equation Tx=f. In particular, the convergence rate estimates are also given for the Ishikawa iterative sequences. On the other hand, a related result discusses the convergence of the Ishikawa iterative sequences with errors for fixed points of Lipschitz strongly pseudocontractive mappings in E. |
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| Keywords: | real Banach space Lipschitz strongly accretive operator Ishikawa iterative approximation |
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