The viscosity approximation forward-backward splitting method for solving quasi inclusion problems in Banach spaces

被引：2

作者：

Zhao, Fu Hai ^{[1
]}

Yang, Li ^{[1
]}

机构：

[1] South West Univ Sci & Technol, Sch Sci, Mianyang 621010, Sichuan, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 01期

关键词：

Accretive operator; viscosity approximation; Banach space; splitting method; forward-backward algorithm; STRONG-CONVERGENCE THEOREMS; MONOTONE-OPERATORS; FIXED-POINTS; SUM; ALGORITHMS; ZERO;

D O I：

10.22436/jnsa.010.01.13

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce viscosity approximation forward-backward splitting method for an accretive operator and an m-accretive operator in Banach spaces. The strong convergence of this viscosity method is proved under certain assumptions imposed on the sequence of parameters. Applications to the minimization optimization problem and the linear inverse problem are included. The results presented in the paper extend and improve some recent results announced in the current literature. (C)2017 All rights reserved.

引用

页码：130 / 140

页数：11

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