Weak and Strong Convergence Theorems of Quasi-Nonexpansive Mappings in a Hilbert Spaces

被引：0
|
作者：
Gang Eun Kim
机构：
[1] Pukyong National University,Department of Applied Mathematics
来源：
Journal of Optimization Theory and Applications | 2012年 / 152卷
关键词：
Weak and strong convergence; Fixed point; Moudafi iteration process; Quasi-nonexpansive mapping;
D O I：
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学科分类号：
摘要：
In this paper, we first prove the weak convergence for the Moudafi’s iterative scheme of two quasi-nonexpansive mappings. Then we prove the weak convergence for the Moudafi’s iterative scheme of quasi-nonexpansive mapping and nonexpansive mapping. Finally, we prove the strong convergence for the Moudafi’s iterative scheme of two quasi-nonexpansive mappings. Our results generalize the recent results due to Iemoto and Takahashi.
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页码：727 / 738
页数：11
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