Convergence Theorems for Modified Inertial Viscosity Splitting Methods in Banach Spaces

被引：6

作者：

Pan, Chanjuan ^{[1
]}

Wang, Yuanheng ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

MATHEMATICS | 2019年 / 7卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Banach spaces; viscosity splitting method; inertial method; accretive operators; ACCRETIVE-OPERATORS; PROXIMAL METHOD; MONOTONE; ALGORITHMS;

D O I：

10.3390/math7020156

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study a modified viscosity splitting method combined with inertial extrapolation for accretive operators in Banach spaces and then establish a strong convergence theorem for such iterations under some suitable assumptions on the sequences of parameters. As an application, we extend our main results to solve the convex minimization problem. Moreover, the numerical experiments are presented to support the feasibility and efficiency of the proposed method.

引用

页数：12

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