Double inertial subgradient extragradient algorithm for solving equilibrium problems and common fixed point problems with application to image restoration

被引：1

作者：

Cholamjiak, Prasit ^{[1
]}

Xie, Zhongbing ^{[2
]}

Li, Min ^{[3
]}

Paimsang, Papinwich ^{[1
]}

机构：

[1] Univ Phayao, Sch Sci, Phayao 56000, Thailand

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[3] Chongqing Ind & Trade Polytech, Coll Basic Educ, Chongqing 408000, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2025年 / 460卷

关键词：

Equilibrium problem; Fixed point; Inertial method; Linear convergence; Weak convergence; VARIATIONAL INEQUALITY PROBLEMS; MONOTONE-OPERATORS; STRONG-CONVERGENCE; WEAK-CONVERGENCE;

D O I：

10.1016/j.cam.2024.116396

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a double inertial method for solving equilibrium problems and common fixed point problems in Hilbert spaces. On the basis of the subgradient extragradient method, we modify the self adaptive rule and use an additional parameter to select appropriate step size. Under reasonable assumptions, we establish both weak and linear convergence properties for the proposed algorithm. Finally, numerical experiments are conducted to validate the rationality and effectiveness of the proposed method over the existing ones in the literature.

引用

页数：15

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