| 极大单调算子和相对非扩展映射的修正杂交迭代算法 |
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| 引用本文： | 魏利,周海云.极大单调算子和相对非扩展映射的修正杂交迭代算法[J].系统科学与数学,2010,30(5):642-649. |
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| 作者姓名： | 魏利 周海云 |
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| 作者单位： | 1. 河北经贸大学数学与统计学学院,石家庄,050061
2. 军械工程学院应用数学与力学研究所,石家庄,050003 |
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| 基金项目： | 国家自然科学，河北省自然科学基金 |
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| 摘 要： | 在实一致光滑、一致凸Banach空间中提出了两种修正杂交迭代算法,证明了迭代序列既强收敛到极大单调算子的零点, 又强收敛到非扩展映射的不动点的结论. 推广和补充了以往的研究工作.
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| 关 键 词： | 极大单调算子 相对非扩展映射 强收敛 不动点 零点. |
| 收稿时间： | 2008-12-18 |
MODIFIED HYBRID ITERATIVE SCHEMES FOR MAXIMAL MONOTONE OPERATORS AND RELATIVELY NONEXPANSIVE MAPPINGS |
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| WEI Li,ZHOU Haiyun.MODIFIED HYBRID ITERATIVE SCHEMES FOR MAXIMAL MONOTONE OPERATORS AND RELATIVELY NONEXPANSIVE MAPPINGS[J].Journal of Systems Science and Mathematical Sciences,2010,30(5):642-649. |
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| Authors: | WEI Li ZHOU Haiyun |
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| Institution: | (1)School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061;(2)Institute of Applied Mathematics and Mechanics, Ordnance Engineering College, Shijiazhuang 050003 |
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| Abstract: | Two modified hybrid iterative schemes are proposed for approximating the common element of the set of zero points of maximal monotone operators andthe set of fixed points of relatively nonexpansive mappings in a real uniformly smooth and uniformly convex Banach space. Furthermore, some strong convergence theorems of the modified hybrid iterative schemes are obtained, which extend some existing related results. |
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| Keywords: | Maximal monotone operator relatively nonexpansive mapping strong convergence fixed point zero point |
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