Weak Convergence of a Projection Algorithm for Variational Inequalities and Relatively Nonexpansive Mappings in a Banach Space

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作者：
Ying LIU College of Mathematics and Computer Hebei University Hebei P R China [71002 ]
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来源：
数学研究与评论 | 2010年 / 30卷 / 04期
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中图分类号：
O177.91 [非线性泛函分析];
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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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页码：716 / 724
页数：9
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