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.

引用

页码：716 / 724

页数：9

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