STRONG CONVERGENCE OF INERTIAL HYBRID SUBGRADIENT METHODS FOR SOLVING EQUILIBRIUM PROBLEMS IN HILBERT SPACES

被引：0

作者：

Anh, Pham Ngoc ^{[1
]}

Kim, Jong Kyu ^{[2
]}

Hien, Nguyen Duc ^{[3
]}

Van Hong, Nguyen ^{[4
]}

机构：

[1] Posts & Telecommun Inst Technol, Dept Sci Fundamentals, Hanoi, Vietnam

[2] Kyungnam Univ, Dept Math Educ, Chang Won 51767, Gyeongnam, South Korea

[3] Duy Tan Univ, Dept Cooperat & Start Up, Da Nang, Vietnam

[4] Hai Phong Univ, Fac Math Educ, Hai Phong, Vietnam

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2023年 / 24卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

Equilibrium problems; fixed point; Lipschitz continuous; strongly mono-tone; inertial technique; demicontractive mapping; STEEPEST-DESCENT METHODS; FORWARD-BACKWARD ALGORITHM; VARIATIONAL-INEQUALITIES; MONOTONE-OPERATORS; WEAK;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce new iteration algorithms for solving equilibrium problems where the constrained sets are given as the intersection of the fixed point sets of demicontractive mappings in a real Hilbert space. The proposed algorithms are based on the subgradient method for variational inequalities and the inertial techniques for finding fixed points of nonexpansive mappings. Strong convergence of the iterative process is proved. Numerical experiments are provided to show computational efficiency of the proposed algorithms and comparison with some other known algorithms.

引用

页码：499 / 514

页数：16

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