Weak Convergence of a Projection Algorithm for Variational Inequalities and Relatively Nonexpansive Mappings in a Banach Space
Weak Convergence of a Projection Algorithm for Variational Inequalities and Relatively Nonexpansive Mappings in a Banach Space作者机构：College of Mathematics and Computer Hebei University Hebei 071002 P. R. China
出 版 物：《Journal of Mathematical Research and Exposition》 (数学研究与评论（英文版）)
年 卷 期：2010年第30卷第4期
页 面：716-724页
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题：relatively nonexpansive mapping generalized projection inverse-strongly-monotone mapping weakly sequential continuity p-uniformly convexity constant.
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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