Accelerated Modified Tseng's Extragradient Method for Solving Variational Inequality Problems in Hilbert Spaces

被引：3

作者：

Okeke, Godwin Amechi ^{[1
]}

Abbas, Mujahid ^{[2
,3
]}

De la Sen, Manuel ^{[4
]}

Iqbal, Hira ^{[5
]}

机构：

[1] Fed Univ Technol Owerri, Sch Phys Sci, Dept Math, Funct Anal & Optimizat Res Grp Lab FANORG, PMB 1526, Owerri, Nigeria

[2] Govt Coll Univ, Dept Math, Katchery Rd, Lahore 54000, Pakistan

[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[4] Univ Basque Country, Inst Res & Dev Proc, Campus Leioa Bizkaia,POB 644, Leioa 48940, Spain

[5] Natl Univ Comp & Emerging Sci, Dept Sci & Humanities, Lahore Campus, Lahore 54000, Pakistan

来源：

AXIOMS | 2021年 / 10卷 / 04期

关键词：

Tseng's extragradient; monotone operators; inertial iterative algorithms; variational inequality problems; Hilbert spaces; strong convergence; SUBGRADIENT TECHNIQUES; STRONG-CONVERGENCE; FIXED-POINTS; ALGORITHM; OPTIMIZATION; PROJECTION;

D O I：

10.3390/axioms10040248

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to propose a new iterative algorithm to approximate the solution for a variational inequality problem in real Hilbert spaces. A strong convergence result for the above problem is established under certain mild conditions. Our proposed method requires the computation of only one projection onto the feasible set in each iteration. Some numerical examples are presented to support that our proposed method performs better than some known comparable methods for solving variational inequality problems.

引用

页数：15

共 50 条

[1] A modified Tseng's extragradient method for solving variational inequality problems
Peng, Jian-Wen
Qiu, Ying-Ming
Shehu, Yekini
APPLICABLE ANALYSIS, 2024, 103 (13) : 2328 - 2352
[2] Tseng's extragradient method with double projection for solving pseudomonotone variational inequality problems in Hilbert spaces
Xie, Zhongbing
Cai, Gang
Li, Xiaoxiao
Dong, Qiao-Li
COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (04):
[3] A Tseng extragradient method for solving variational inequality problems in Banach spaces
O. K. Oyewole
H. A. Abass
A. A. Mebawondu
K. O. Aremu
Numerical Algorithms, 2022, 89 : 769 - 789
[4] A Tseng extragradient method for solving variational inequality problems in Banach spaces
Oyewole, O. K.
Abass, H. A.
Mebawondu, A. A.
Aremu, K. O.
NUMERICAL ALGORITHMS, 2022, 89 (02) : 769 - 789
[5] Modified Tseng’s extragradient algorithms for variational inequality problems
Duong Viet Thong
Dang Van Hieu
Journal of Fixed Point Theory and Applications, 2018, 20
[6] A new self adaptive Tseng's extragradient method with double-projection for solving pseudomonotone variational inequality problems in Hilbert spaces
Xie, Zhongbing
Cai, Gang
Li, Xiaoxiao
Dong, Qiao-Li
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2023, 24 (02) : 539 - 554
[7] Modified Tseng's extragradient algorithms for variational inequality problems
Duong Viet Thong
Dang Van Hieu
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (04)
[8] A strong convergence theorem for Tseng’s extragradient method for solving variational inequality problems
Duong Viet Thong
Nguyen The Vinh
Yeol Je Cho
Optimization Letters, 2020, 14 : 1157 - 1175
[9] A strong convergence theorem for Tseng's extragradient method for solving variational inequality problems
Thong, Duong Viet
Vinh, Nguyen The
Cho, Yeol Je
OPTIMIZATION LETTERS, 2020, 14 (05) : 1157 - 1175
[10] Modified Subgradient Extragradient Methods for Solving Bilevel Split Variational Inequality Problems in Hilbert Spaces
Van, Le Huynh My
Thuy, Dang Le
Anh, Tran Viet
ACTA MATHEMATICA VIETNAMICA, 2023, 48 (03) : 459 - 478

← 1 2 3 4 5 →