Generalized Halpern iteration with new control conditions and its application

被引：0
作者：
Hai Yu
Fenghui Wang
机构：
[1] Luoyang Normal University,Department of Mathematics
来源：
Journal of Fixed Point Theory and Applications | 2023年 / 25卷
关键词：
Halpern iteration; nonexpansive mapping; Hilbert space; strong convergence; split feasibility problem; 47H09; 47H10;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we investigate the generalized Halpern iteration for computing fixed points of nonexpansive mappings in Hilbert space setting, and prove the strong convergence under new control conditions on parameters. The convergence results generalize the existing ones in the literature. We also present a convergence rate analysis for the generalized Halpern iteration with a particular choice of parameters. Finally, we give an application to the split feasibility problem and two numerical examples for illustrating the performance of the algorithm.
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