An inertial extragradient method for solving strongly pseudomonotone equilibrium problems in Hilbert spaces

被引：0

作者：

Le, Thi Thanh Hai ^{[1
,2
,3
]}

Thong, Duong Viet ^{[4
]}

Vuong, Phan Tu ^{[5
]}

机构：

[1] Univ Sci Ho Chi Minh City, Fac Math & Comp Sci, Ho Chi Minh City, Vietnam

[2] Vietnam Natl Univ, Ho Chi Minh City, Vietnam

[3] HCMC Univ Technol & Educ, Fac Appl Sci, Ho Chi Minh City, Vietnam

[4] Natl Econ Univ, Fac Math Econ, Hanoi, Vietnam

[5] Univ Southampton, Sch Math Sci, Southampton SO17 1BJ, England

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2024年 / 43卷 / 06期

关键词：

Equilibrium problem; Inertial extragradient method; Strongly pseudomonotone bifunction; R-linear rate; KY FAN INEQUALITIES; ITERATIVE METHODS; ALGORITHMS; CONVERGENCE; EXISTENCE;

D O I：

10.1007/s40314-024-02840-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we propose an inertial extragradient method for solving strongly pseudomonotone equilibrium problems utilizing a novel self-adaptive stepsize approach. We establish the R-linear convergence rate of the proposed method without prior knowledge of the Lipschitz-type constants associated with the bifunction. We also discuss the application of the obtained results to variational inequality problems involving strongly pseudomonotone and Lipschitz continuous mapping. Numerical examples are presented to illustrate the efficiency of the proposed method.

引用

页数：18

共 37 条

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[Anonymous], 1970, Classics in Applied Mathematics

[2]

Bigi G, 2019, Nonlinear programming techniques for equilibria

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