| 求解变分不等式的修正三步迭代法 |
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| 引用本文： | 翟广福,范丽亚. 求解变分不等式的修正三步迭代法[J]. 山东大学学报(理学版), 2009, 44(6): 69-74 |
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| 作者姓名： | 翟广福 范丽亚 |
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| 作者单位： | 聊城大学数学科学学院; |
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| 基金项目： | This researchis supported by National Natural Science Foundation of China(10871226) |
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| 摘 要： | 为了求变分不等式问题的解集和非扩张映射的不动点集的公共点, 本文介绍了一种修正的三步迭代法, 并证明了在更弱的条件下该算法的强收敛性.
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| 关 键 词： | 三步迭代方法；变分不等式；非扩张映射；极大单调 |
| 收稿时间： | 2008-10-07 |
Modified three-step iterative method for solving variational inequalities |
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| ZHAI Guang-fu,FAN Li-ya. Modified three-step iterative method for solving variational inequalities[J]. Journal of Shandong University, 2009, 44(6): 69-74 |
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| Authors: | ZHAI Guang-fu FAN Li-ya |
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| Affiliation: | School of Mathematics Science;Liaocheng University;Liaocheng 252059;Shandong;China |
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| Abstract: | A modified three-step iterative method for finding a common element of the solution set of a variational inequality problem and the set of fixed points of a nonexpansive mapping are introduced.We will study the strong convergence of the algorithm under weaker conditions. |
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| Keywords: | three-step iterative method variational inequality nonexpansive mapping maximal monotonicity |
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