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.

引用

页码：2153 / 2177

页数：25

共 50 条

[21] Accelerated Proximal Algorithms with a Correction Term for Monotone Inclusions
Paul-Emile Maingé
Applied Mathematics & Optimization, 2021, 84 : 2027 - 2061
[22] Accelerated Proximal Algorithms with a Correction Term for Monotone Inclusions
Mainge, Paul-Emile
APPLIED MATHEMATICS AND OPTIMIZATION, 2021, 84 (SUPPL 2) : 2027 - 2061
[23] Relaxed-Inertial Proximal Point Algorithms for Nonconvex Equilibrium Problems with Applications
Grad, Sorin-Mihai
Lara, Felipe
Marcavillaca, Raul Tintaya
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2024, 203 (03) : 2233 - 2262
[24] Convergence results of two-step inertial proximal point algorithm
Iyiola, Olaniyi S.
Shehu, Yekini
APPLIED NUMERICAL MATHEMATICS, 2022, 182 : 57 - 75
[25] Approximate proximal algorithms for generalized variational inequalities with paramonotonicity and pseudomonotonicity
Ceng, L. C.
Lai, T. C.
Yao, J. C.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (06) : 1262 - 1269
[26] Approximate proximal algorithms for generalized variational inequalities with pseudomonotone multifunctions
Ceng, L. C.
Yao, J. C.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 213 (02) : 423 - 438
[27] On the contraction-proximal point algorithms with multi-parameters
Wang, Fenghui
Cui, Huanhuan
JOURNAL OF GLOBAL OPTIMIZATION, 2012, 54 (03) : 485 - 491
[28] On the proximal point algorithm
Rouhani, B. Djafari
Khatibzadeh, H.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2008, 137 (02) : 411 - 417
[29] On the Proximal Point Algorithm
B. Djafari Rouhani
H. Khatibzadeh
Journal of Optimization Theory and Applications, 2008, 137 : 411 - 417
[30] Hybrid Approximate Proximal Point Algorithms for Variational Inequalities in Banach Spaces
Ceng, L. C.
Guu, S. M.
Yao, J. C.
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,

← 1 2 3 4 5 →