Convergence analysis for the proximal split feasibility problem using an inertial extrapolation term method

被引：52
|
作者：
Shehu, Yekini [1 ,2 ]
Iyiola, Olaniyi S. [3 ]
机构：
[1] Univ Wurzburg, Inst Math, Wurzburg, Germany
[2] Univ Nigeria, Dept Math, Nsukka, Nigeria
[3] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2017年 / 19卷 / 04期
关键词：
Proximal split feasibility problems; Moreau-Yosida approximate; inertial term; weak convergence; FORWARD-BACKWARD ALGORITHM; MONOTONE-OPERATORS; FIXED-POINTS; CQ ALGORITHM; THEOREMS; SUM; PROJECTION; RECOVERY; ZERO; SET;
D O I：
10.1007/s11784-017-0435-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a proximal split feasibility algorithm with an additional inertial extrapolation term for solving a proximal split feasibility problem under weaker conditions on the step sizes. The two convex and lower semi continuous objective functions are assumed to be non-smooth. Some applications to split inclusion problem and split equilibrium problem are given. We demonstrate the efficiency of the proposed algorithm with numerical experiments.
引用
收藏
页码：2483 / 2510
页数：28
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