| 一类变分不等式和非扩张映像不动点问题的一个迭代算法 |
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| 引用本文： | 商美娟,苏永福,秦小龙.一类变分不等式和非扩张映像不动点问题的一个迭代算法[J].数学物理学报(A辑),2010,30(4):1126-1137. |
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| 作者姓名： | 商美娟 苏永福 秦小龙 |
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| 作者单位： | 商美娟(天津工业大学理学院数学系,天津,300160;石家庄学院教学系,石家庄,050035);苏永福,秦小龙(天津工业大学理学院数学系,天津,300160) |
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| 摘 要： | 该文提出了关于含松弛强制映像变分不等式和不动点问题解的一个投影迭代算法,所得结果改进和推广了目前一些作者的研究结果.
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| 关 键 词： | 变分不等式 投影算法 松弛强制映像 非扩张映像 不动点 |
| 收稿时间： | 2008-11-27 |
| 修稿时间： | 2009-10-16 |
An Iterative Method for a Kind of |Variational Inequality and Fixed Point Problem of Nonexpansive Mapping |
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| SHANG Mei-Juan,SU Yong-Fu,QIN Xiao-Long.An Iterative Method for a Kind of |Variational Inequality and Fixed Point Problem of Nonexpansive Mapping [J].Acta Mathematica Scientia,2010,30(4):1126-1137. |
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| Authors: | SHANG Mei-Juan SU Yong-Fu QIN Xiao-Long |
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| Institution: | 1.Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin 300160;
2.Department of Mathematics, Shijiazhuang University, Shijiazhuang 050035 |
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| Abstract: | In this paper, the authors introduce a new iterative scheme to investigate the problem of finding a common element of the set of fixed points of a
nonexpansive mapping and the set of solutions of a variational inequality problem for a relaxed cocoercive and Lipschitz continuous mapping. The results improve and extend the recent ones announced by many others. |
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| Keywords: | Variational inequalityzz Projection methodzz Relaxed cocoercive mappingzz Nonexpansive mappingzz Fixed pointzz |
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