A viscosity method with inertial effects for split common fixed point problems of demicontractive mappings
A viscosity method with inertial effects for split common fixed point problems of demicontractive mappings
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DOI：
10.23952/jnfa.2022.17
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发表时间：
2022
影响因子：
1.6
通讯作者：
Jingfang Xiao;Yaqin Wang
中科院分区：
文献类型：
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作者：
Jingfang Xiao;Yaqin Wang
.本文首先在Hilbert空间中基于粘性方法和惯性效应提出了半压缩映射分裂公共不动点问题的新算法。该算法的构造方式，其步长是不相关的有界线性算子的范数。然后在适当的条件下证明了几个强收敛定理。最后，我们提供了一个数值例子来证明我们提出的算法的有效性。我们的结果推广和改进了最近公布的一些已知结果。
. In this paper, we first propose a new algorithm for the split common fixed point problems of demicontractive mappings based on viscosity methods and inertial effects in Hilbert spaces. The algorithm is constructed in such a way that its step sizes are not related to the norm of a bounded linear operator. Then, we prove some strong convergence theorems under some suitable conditions. Finally, we provide a numerical example to show the effectiveness of our proposed algorithm. Our results generalize and improve some known results announced recently.