An inertial method for solving split common fixed point problems

被引：0
作者：
Duong Viet Thong
Dang Van Hieu
机构：
[1] National Economics University,Faculty of Economics Mathematics
[2] College of Air Force,Department of Mathematics
来源：
Journal of Fixed Point Theory and Applications | 2017年 / 19卷
关键词：
Split common fixed point problem; split feasibility problem; split variational inequality problem; split null point problem; 47H10; 47J25; 47H45; 65J15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce a new algorithm which combines the Mann iteration and the inertial method for solving split common fixed point problems. The weak convergence of the algorithm is established under standard assumptions imposed on cost operators. As a consequence, we obtain weak convergence theorems for split variational inequality problems for inverse strongly monotone operators, and split common null point problems for maximal monotone operators. Finally, for supporting the convergence of the proposed algorithms we also consider several preliminary numerical experiments on a test problem.
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页码：3029 / 3051
页数：22
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