An extragradient method for solving variational inequalities without monotonicity

DOI10.1007/s10957-020-01791-xOpenAlexW3118444755MaRDI QIDQ2031958

Ming Lei, Yi Ran He

Publication date: 15 June 2021

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-020-01791-x

zbMATH Keywords

global convergenceprojection methodextragradient methodMinty variational inequality

Mathematics Subject Classification ID

Convex programming (90C25) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

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Cites Work

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• An iterative algorithm for the variational inequality problem
• Combined relaxation methods for variational inequalities
• New extragradient-like algorithms for strongly pseudomonotone variational inequalities
• On the weak convergence of the extragradient method for solving pseudo-monotone variational inequalities
• Combined relaxation methods for finding equilibrium points and solving related problems
• Inertial extragradient algorithms for strongly pseudomonotone variational inequalities
• A new class of hybrid extragradient algorithms for solving quasi-equilibrium problems
• A double projection method for solving variational inequalities without monotonicity
• Quasimonotone variational inequalities in Banach spaces
• A new double projection algorithm for variational inequalities
• Monotone Operators and the Proximal Point Algorithm
• A New Projection Method for Variational Inequality Problems
• A variant of korpelevich’s method for variational inequalities with a new search strategy
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Convex programming in Hilbert space
• Unified framework of extragradient-type methods for pseudomonotone variational inequalities.