Self-adaptive algorithms with inertial effects for solving the split problem of the demicontractive operators

被引：0
|
作者：
Raweerote Suparatulatorn
Prasit Cholamjiak
Suthep Suantai
机构：
[1] Chiang Mai University,Department of Mathematics, Faculty of Science
[2] University of Phayao,School of Science
[3] Chiang Mai University,Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2020年 / 114卷
关键词：
Split common fixed point problem; Demicontractive operator; Self-adaptive algorithm; Inertial algorithm; 47J25; 47H10; 65K10;
D O I：
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学科分类号：
摘要：
The purpose of this paper is to introduce two new versions of self-adaptive algorithms by using inertial effects for solving the split common fixed point problem of demicontractive operators in Hilbert spaces and prove its weak and strong convergences under some weakened assumptions. Furthermore, we provide numerical experiments to illustrate the convergence behavior and efficiency of our proposed algorithms.
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