| 在Banach空间关于变分不等式和相对非扩张映射的弱收敛 |
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| 引用本文： | 刘英.在Banach空间关于变分不等式和相对非扩张映射的弱收敛[J].数学研究及应用,2010,30(4):716-724. |
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| 作者姓名： | 刘英 |
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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： | In this paper, we introduce an iterative sequence for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of the variational inequality for an inverse-strongly-monotone mapping in a Banach space. Then we show that the sequence converges weakly to a common element of two sets.
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| 关 键 词： | relatively nonexpansive mapping generalized projection inverse-strongly-monotone mapping weakly sequential continuity p-uniformly convexity constant. |
| 收稿时间： | 5/6/2008 12:00:00 AM |
| 修稿时间： | 2008/10/6 0:00:00 |
Weak Convergence of a Projection Algorithm for Variational Inequalities and Relatively Nonexpansive Mappings in a Banach Space |
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| Ying LIU.Weak Convergence of a Projection Algorithm for Variational Inequalities and Relatively Nonexpansive Mappings in a Banach Space[J].Journal of Mathematical Research with Applications,2010,30(4):716-724. |
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| Authors: | Ying LIU |
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| Institution: | College of Mathematics and Computer,Hebei University,Hebei 071002,P.R.China |
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| Abstract: | In this paper, we introduce an iterative sequence for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of the variational inequality for an inverse-strongly-monotone mapping in a Banach space. Then we show that the sequence converges weakly to a common element of two sets. |
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| Keywords: | relatively nonexpansive mapping generalized projection inverse-strongly-monotone mapping weakly sequential continuity $p$-uniformly convexity constant |
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