The split common fixed point problem for infinite families of demicontractive mappings

被引：0
|
作者：
Hanjing A. [1 ]
Suantai S. [2 ,3 ]
机构：
[1] Ph.D. Degree Program in Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai
[2] Center of Excellence in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai
[3] Center of Excellence in Mathematics, CHE, Bangkok
来源：
Fixed Point Theory and Applications | / 2018卷 / 1期
关键词：
Demicontractive mappings; Equilibrium problem; Fixed point problem; Null point problem; Variational inequality problem;
D O I：
10.1186/s13663-018-0639-y
中图分类号：
学科分类号：
摘要：
In this paper, we propose a new algorithm for solving the split common fixed point problem for infinite families of demicontractive mappings. Strong convergence of the proposed method is established under suitable control conditions. We apply our main results to study the split common null point problem, the split variational inequality problem, and the split equilibrium problem in the framework of a real Hilbert space. A numerical example supporting our main result is also given. © 2018, The Author(s).
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