LINEAR CONVERGENCE OF AN ITERATIVE ALGORITHM FOR SOLVING THE MULTIPLE-SETS SPLIT EQUALITY PROBLEM

被引：2
|
作者：
Feng, Meiling [1 ]
Shi, Luoyi [1 ]
Chen, Rudong [1 ]
机构：
[1] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China
来源：
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2019年 / 2019卷
关键词：
Linear convergence; Bounded linear regularity; Multiple-sets split equality problem; Subgradient projection algorithm; CONVEX FEASIBILITY; FIXED-POINTS;
D O I：
10.23952/jnfa.2019.9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a subgradient projection algorithm for solving the multiple-sets split equality problem (MSSEP), and investigate its linear convergence. We involve the bounded linear regularity for the MSSEP, and construct several sufficient conditions to ensure the linear convergence of our proposed algorithm. One of the highlights of our algorithm is that metric projections onto given feasibility sets are easily calculated (that is, the projections onto half-spaces). Some numerical results are provided to illustrate the validity of our proposed algorithm.
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收藏
页数：12
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