A self-adaptive relaxed primal-dual iterative algorithm for solving the split feasibility and the fixed point problem

被引:0
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作者
Wang, Yuanheng [1 ,2 ]
Huang, Bin [2 ]
Jiang, Bingnan [2 ]
机构
[1] College of Humanities, Zhejiang Guangsha Vocational and Technical University of Construction, Dongyang Jinhua,322100, China
[2] School of Mathematical Science, Zhejiang Normal University, Wucheng Jinhua,321004, China
基金
中国国家自然科学基金;
关键词
Iterative methods - Numerical models;
D O I
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学科分类号
摘要
In this paper, we introduce a new numerical simulation iterative algorithm to solve the split feasibility problem and the fixed point problem with demicontractive mappings. Our algorithm mainly involves primal-dual iterative, relaxed projection, inertial technique and self-adaptive step size. Under reasonable conditions, the strong convergence of our algorithm is established. Moreover, we provide some numerical simulation examples to demonstrate the efficiency of our iterative algorithm compared to existing algorithms in the other literature. © 2023 Elsevier B.V.
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