A self-adaptive iterative algorithm for the split common fixed point problems

被引：22
作者：
Zhao, Jing [1 ]
Hou, Dingfang [1 ]
机构：
[1] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China
来源：
NUMERICAL ALGORITHMS | 2019年 / 82卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Split common fixed-point problem; Iterative algorithm; Dual variable; Averaged mapping; Weak convergence; Hilbert space; CONVEX FEASIBILITY; CQ-ALGORITHM; NONEXPANSIVE-MAPPINGS; MANN ALGORITHM; PROJECTION; CONVERGENCE;
D O I：
10.1007/s11075-018-0640-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we use the dual variable to propose a self-adaptive iterative algorithm for solving the split common fixed point problems of averaged mappings in real Hilbert spaces. Under suitable conditions, we get the weak convergence of the proposed algorithm and give applications in the split feasibility problem and the split equality problem. Some numerical experiments are given to illustrate the efficiency of the proposed iterative algorithm. Our results improve and extend the corresponding results announced by many others.
引用
收藏
页码：1047 / 1063
页数：17
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