Convergence of two-step inertial Tseng’s extragradient methods for quasimonotone variational inequality problems

This paper introduces two-step inertial Tseng’s extragradient methods with self-adaptive step sizes for solving quasimonotone variational inequalities in real Hilbert spaces. Under suitable conditions on the iterative parameters, weak convergence of the sequence generated by the proposed algorithms...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation Vol. 136; p. 108110
Main Authors: Dung, Vu Tien, Anh, Pham Ky, Thong, Duong Viet
Format: Journal Article
Language:English
Published: Elsevier B.V 01.09.2024
Subjects:
Quasimonotone mapping
Tseng’s extragradient method
Variational inequality
Weak convergence
Weak convergence
47H10
65K15
47J20
Quasimonotone mapping
Variational inequality
68W10
47H09
47J25
65Y05
Tseng’s extragradient method
ISSN:1007-5704, 1878-7274
Online Access:Get full text
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Summary:This paper introduces two-step inertial Tseng’s extragradient methods with self-adaptive step sizes for solving quasimonotone variational inequalities in real Hilbert spaces. Under suitable conditions on the iterative parameters, weak convergence of the sequence generated by the proposed algorithms is obtained. Numerical results demonstrate the efficiency of the methods compared to others available ones in literature.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2024.108110