Two-step inertial forward-reflected-backward splitting based algorithm for nonconvex mixed variational inequalities

This paper presents a modification of a recently studied Malitsky–Tam forward-reflected-backward splitting method with two-step inertial extrapolation to solve nonconvex mixed variational inequalities. We give global convergence results and nonasymptotic O(1/k) convergence rate of our proposed metho...

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Bibliographic Details
Published in:Journal of computational and applied mathematics Vol. 426; p. 115093
Main Authors: Izuchukwu, Chinedu, Shehu, Yekini, Dong, Qiao-Li
Format: Journal Article
Language:English
Published: Elsevier B.V 01.07.2023
Subjects:
Forward-reflected-backward splitting
Nonconvex variational inequalities
Proximal point algorithms
Two-step inertial extrapolation
Nonconvex variational inequalities
68Q25
90C30
Proximal point algorithms
90C25
Two-step inertial extrapolation
90C22
Forward-reflected-backward splitting
90C60
49M25
ISSN:0377-0427, 1879-1778
Online Access:Get full text
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Summary:This paper presents a modification of a recently studied Malitsky–Tam forward-reflected-backward splitting method with two-step inertial extrapolation to solve nonconvex mixed variational inequalities. We give global convergence results and nonasymptotic O(1/k) convergence rate of our proposed method under some appropriate conditions and present some mathematical justifications.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2023.115093