SELF-ADAPTIVE PROJECTION ALGORITHMS FOR SOLVING THE SPLIT EQUALITY PROBLEMS

被引：16
|
作者：
Dong, Qiao-Li [1 ]
He, Songnian [1 ]
机构：
[1] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China
来源：
FIXED POINT THEORY | 2017年 / 18卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Split equality problem; self-adaptive projection algorithm; relaxed self-adaptive projection algorithm; Armijo-like searches; CONVEX FEASIBILITY PROBLEMS; ALTERNATING PROXIMAL ALGORITHMS; CQ-ALGORITHM; VARIATIONAL-INEQUALITIES; MINIMIZATION; HILBERT; PDES;
D O I：
10.24193/fpt-ro.2017.1.15
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first introduce a self-adaptive projection algorithm by adopting Armijolike searches to solve the spit equality problem (SEP), then we propose a relaxed self-adaptive projection algorithm by using projections onto half-spaces instead of those onto the original convex sets, which is much more practical. Weak convergence results for both algorithms are analyzed.
引用
收藏
页码：191 / 202
页数：12
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