Relaxed Two-Step Inertial Tseng’s Extragradient Method for Nonmonotone Variational Inequalities

This work introduces a novel inertial projection method for solving the variational inequality (VI) without imposing the restrictive assumption of monotonicity on the cost operator. We establish global convergence of the proposed method under the condition that the solution set of the associated Min...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 205; no. 1; p. 7
Main Authors:	Viet Thong, Duong, Ky Anh, Pham, Tien Dung, Vu
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.04.2025 Springer Nature B.V
Subjects:	Algorithms Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Engineering Equilibrium flow Inequalities Infrastructure Mathematical programming Mathematics Mathematics and Statistics Methods Operations Research/Decision Theory Optimization Theory of Computation Weak convergence 47H10 65K15 47J20 Variational inequality 68W10 Two step inertial technique 47H09 Nonmonotone mapping 47J25 65Y05 Tseng’s extragradient method
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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