Reckoning solution of split common fixed point problems by using inertial self-adaptive algorithms

被引：12
|
作者：
Suparatulatorn, Raweerote [1 ]
Suantai, Suthep [1 ]
Phudolsitthiphat, Narawadee [1 ]
机构：
[1] Chiang Mai Univ, Fac Sci, Dept Math, Res Ctr Math & Appl Math, Chiang Mai 50200, Thailand
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 04期
关键词：
Split common fixed point problem; Demicontractive operator; Self-adaptive algorithm; Inertial algorithm; CONVERGENCE; MAPPINGS;
D O I：
10.1007/s13398-019-00676-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we construct a novel algorithm for the split common fixed point problem for two demicontractive operators in Hilbert spaces. By using inertial self-adaptive algorithms, we obtain strong convergence results for finding a solution of the split common fixed point problems. Applications to solving the split minimization problem and the split feasibility problem are included. Our results extend and generalizemany previously known results in this research area. Moreover, numerical experiments are supplied to demonstrate the convergence behavior and efficiency of the proposed algorithm.
引用
收藏
页码：3101 / 3114
页数：14
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