GENERALIZED PROXIMAL POINT ALGORITHMS WITH CORRECTION TERMS AND EXTRAPOLATION

被引：0
|
作者：
Yao, Yonghong [1 ,2 ]
Iyiola, Olaniyi Samuel [3 ]
Shehu, Yekini [4 ]
机构：
[1] Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China
[2] Kyung Hee Univ, Ctr Adv Informat Technol, Seoul 02447, South Korea
[3] Morgan State Univ, Dept Math, Baltimore, MD USA
[4] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China
来源：
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2024年 / 20卷 / 06期
关键词：
Key words and phrases. Proximal point algorithm; correction term; inertial extrapolation; maximal monotone operators; Hilbert spaces; FORWARD-BACKWARD ALGORITHM; MAXIMAL MONOTONE-OPERATORS; WEAK-CONVERGENCE;
D O I：
10.3934/jimo.2023160
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
. In this paper, we propose two generalized proximal point algorithms with correction terms and backward inertial extrapolation to find a zero of a maximal monotone operator in Hilbert spaces. Weak convergence results are obtained and a non-asymptotic O(1/n) convergence rate is given. We also give a linear rate of convergence under some standard assumption. Numerical implementations are given to support the theoretical discussions.
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页码：2153 / 2177
页数：25
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