期刊
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
卷 17, 期 6, 页码 3357-3371出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/jimo.2020123
关键词
Maximal monotone operator; resolvent operator; inertial method; weak convergence; Hilbert space
类别
资金
- National Research Foundation (NRF) of South Africa [111992]
- Thailand Science Research and Innovation [IRN62W0007]
- Thailand Research Fund
- University of Phayao [RSA6180084]
This paper introduces a new inertial iterative method for solving split variational inclusion problems in real Hilbert spaces. The method increases the rate of convergence by inertial extrapolation step, relaxes the choice of inertial factor, and shows numerical efficiency and superiority through test examples.
The purpose of this paper is to introduce a new inertial iterative method for solving split variational inclusion problems in real Hilbert spaces. We prove that the generated sequence converges weakly to the solution of the considered problem under some mild conditions. The major contributions of our results are: (i) to increase the rate of convergence of the method for solving split variational inclusion problem through the inertial extrapolation step, (ii) to relax the choice of the inertial factor and show the inertial factor can be chosen greater than 1/3 unlike what is previously known before for inertial proximal point method in the literature (iii) to show the numerical efficiency and superiority of our proposed method through some test example.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据