| 严格渐近伪压缩映象隐迭代序列的收敛性 |
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| 引用本文： | 何欣枫,马建珍,何震.严格渐近伪压缩映象隐迭代序列的收敛性[J].数学的实践与认识,2007,37(12):137-143. |
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| 作者姓名： | 何欣枫 马建珍 何震 |
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| 作者单位： | 1. 河北大学,数学与计算机学院,河北,保定,071002
2. 河北邢台学院,数学系,河北,邢台,054000 |
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| 基金项目： | 教育部科学技术重点支持项目;河北省自然科学基金 |
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| 摘 要： | 含有非扩张型映射的非线性算子方程的隐式迭代法,从2001年由H.K.Xu和R.G.Ori引入以来,已有许多学者进行了研究,得出了一些有意义的成果.最近M.O.Osilike对Browder-Petyshyn意义下的严格伪压缩映象的隐迭代过程,也做出了部分研究成果,但对严格渐近伪压缩映象未曾涉及.本文将主要研究Browder-Petyshyn意义下的严格渐近伪压缩映象的隐迭代过程.并讨论它们的收敛性问题.
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| 关 键 词： | 严格渐进伪压缩映象 隐迭代 带误差的隐迭代 半紧性 |
| 修稿时间： | 2006年3月15日 |
The Convergence of an Implicit Iteration Sequnces for Strictly Asymptotically Pseudocontractive Mappings |
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| HE Xin-feng,MA Jian-zhen,HE Zhen.The Convergence of an Implicit Iteration Sequnces for Strictly Asymptotically Pseudocontractive Mappings[J].Mathematics in Practice and Theory,2007,37(12):137-143. |
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| Authors: | HE Xin-feng MA Jian-zhen HE Zhen |
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| Abstract: | In 2001 H.K.Xu and R.G.Ori have introduced an implicit iteration methods for nonlinear operator equations of nonexpansive mapping.Since then scholars studied and obtained some significative results.Recently,M.O.Osilike also studied on implicit iteration process for strictly pseudocontractive mappings of Browder-Petyshyn type,and is obtained partial investigative results.But these results do not include strictly asymptotically pseudocontractive mapping.We mainly discussed implicit iteration process for strictly asymptotically pseudocontractive mapping of Browder-Petyshyn type and researched their convergence problems. |
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| Keywords: | strictly asymptotically pseudocontractive mapping an implicit iteration methods an implicit iteration with errors semi-compactness |
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