Inertial Proximal Point Algorithms for Solving a Class of Split Feasibility Problems

被引：0
作者：
Simeon Reich
Truong Minh Tuyen
Phan Thi Van Huyen
机构：
[1] The Technion – Israel Institute of Technology,Department of Mathematics
[2] Thai Nguyen University of Sciences,undefined
[3] Thai Nguyen University of Technology,undefined
来源：
Journal of Optimization Theory and Applications | 2024年 / 200卷
关键词：
Hilbert space; Inertial proximal point algorithm; Monotone operator; Split feasibility problem; 47H05; 47H09; 49J53; 90C25;
D O I：
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学科分类号：
摘要：
We study the split common solution problem with multiple output sets for monotone operator equations in Hilbert spaces. In order to solve this problem, we introduce two new algorithms which are based on the inertial proximal point algorithm. We first establish a weak convergence theorem and a convergence rate for the first algorithm. Next, we also establish the strong convergence of sequences generated by the second algorithm. An application of our main theorems to solving the split minimum point problem with multiple output sets and a pertinent numerical example are also presented in Sects. 6 and 7, respectively.
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页码：951 / 977
页数：26
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