Solving the Split Feasibility Problem and the Fixed Point Problem of Left Bregman Firmly Nonexpansive Mappings via the Dynamical Step Sizes in Banach Spaces

被引：0
作者：
N. Pholasa
K. Kankam
P. Cholamjiak
机构：
[1] University of Phayao,School of Science
来源：
Vietnam Journal of Mathematics | 2021年 / 49卷
关键词：
Split feasibility problem; Strong convergence; Self-adaptive method; Bregman firmly nonexpansive mapping; 49J53; 65K10; 49M37; 90C25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work, we suggest a new self-adaptive method using the dynamical step size technique for solving the split feasibility problem and the fixed point problem of left Bregman firmly nonexpansive mappings in a certain Banach space. We establish the strong convergence without the computation of the operator norms. Finally, we give some examples including its numerical experiments to show the efficiency and the implementation of our proposed method.
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页码：1011 / 1026
页数：15
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