New extragradient-type methods for solving variational inequalities

DOI10.1016/j.amc.2010.03.088zbMath1195.65088OpenAlexW2024657001MaRDI QIDQ983993

J. Martínez

Publication date: 13 July 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.088

zbMATH Keywords

global convergencevariational inequalitiesnumerical experimentsmonotone operatorsextragradient methodsself-adaptive rules

Mathematics Subject Classification ID

Variational inequalities (49J40) Discrete approximations in optimal control (49M25) Numerical methods for variational inequalities and related problems (65K15)

Related Items (1)

On the \(O(1/t)\) convergence rate of the parallel descent-like method and parallel splitting augmented Lagrangian method for solving a class of variational inequalities

Cites Work

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• A note on a globally convergent Newton method for solving monotone variational inequalities
• An iterative algorithm for the variational inequality problem
• A class of iterative methods for solving nonlinear projection equations
• Comparison of two kinds of prediction-correction methods for monotone variational inequalities
• Error bounds for proximal point subproblems and associated inexact proximal point algorithms
• Inexact implicit methods for monotone general variational inequalities
• New extragradient-type methods for general variational inequalities.
• Some developments in general variational inequalities
• On linear convergence of iterative methods for the variational inequality problem
• A globally convergent Newton method for solving strongly monotone variational inequalities
• Interior projection-like methods for monotone variational inequalities
• A UNIFIED FRAMEWORK FOR SOME INEXACT PROXIMAL POINT ALGORITHMS^*
• Application Of Khobotov’s Algorithm To Variational Inequalities And Network Equilibrium Problems
• Modification of the extra-gradient method for solving variational inequalities and certain optimization problems
• A variant of korpelevich’s method for variational inequalities with a new search strategy
• Modified Projection-Type Methods for Monotone Variational Inequalities
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• A simple proof for some important properties of the projection mapping
• Convex programming in Hilbert space
• Convergence properties of projection and contraction methods for variational inequality problems
• A new version of extragradient method for variational inequality problems
• Improvements of some projection methods for monotone nonlinear variational inequalities
• Global projection-type error bounds for general variational inequalities

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