| 非线性增生算子方程的三重迭代及其收敛性分析 |
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| 引用本文： | 赵芬,何震. 非线性增生算子方程的三重迭代及其收敛性分析[J]. 河北大学学报(自然科学版), 2004, 24(5): 468-471. DOI: 10.3969/j.issn.1000-1565.2004.05.006 |
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| 作者姓名： | 赵芬 何震 |
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| 作者单位： | 河北大学,数学与计算机学院,河北,保定,071002 |
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| 摘 要： | 提出了在一致光滑Banach空间中不带连续性条件的非线性增生算子方程的三重迭代程序并研究了其收敛性问题,所得的结果在更一般的条件下完善和扩展了以往的相关结论.
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| 关 键 词： | 三重迭代 强增生映射 强伪压缩映射 非线性增生算子 收敛性 |
| 文章编号： | 1000-1565(2004)05-0468-04 |
| 修稿时间： | 2004-01-11 |
Three-step Iterations for Nonlinear Accretive Operator Equations and Convergence Analysis |
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| ZHAO Fen,HE Zhen. Three-step Iterations for Nonlinear Accretive Operator Equations and Convergence Analysis[J]. Journal of Hebei University (Natural Science Edition), 2004, 24(5): 468-471. DOI: 10.3969/j.issn.1000-1565.2004.05.006 |
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| Authors: | ZHAO Fen HE Zhen |
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| Abstract: | The authers suggest and analyze a three_step iterative scheme for nonlinear accretive operator equations without continuous conditions in a uniformly smooth Banach spaces.The results in this paper extend and improve the previous results in the more general setting. |
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| Keywords: | three_step iterations strongly accretive mapping strongly pseudocontrative mapping nonlinear accretive operator convergence |
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