A modified inexact implicit method for mixed variational inequalities

DOI10.1016/j.cam.2010.04.036zbMath1197.65074OpenAlexW1967607468MaRDI QIDQ989142

Sheng Zhaohan, Min Li, Abdellah Bnouhachem, Mohamed Khalfaoui

Publication date: 27 August 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.04.036

zbMATH Keywords

global convergencenumerical examplesresolvent operatormixed variational inequalitiesinexact methodsimplicit methodsself-adaptive rules

Mathematics Subject Classification ID

Variational inequalities (49J40) Numerical methods based on nonlinear programming (49M37) Numerical methods for variational inequalities and related problems (65K15)

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Cites Work

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• Generalized system for relaxed cocoercive variational inequalities and projection methods
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• An inexact implicit method for general mixed variational inequalities
• Strong convergence theorem by an extragradient method for fixed point problems and variational inequality problems
• A modified inexact operator splitting method for monotone variational inequalities
• Solution methods for pseudomonotone variational inequalities
• Convergence analysis of modified hybrid steepest-descent methods with variable parameters for variational inequalities
• New accuracy criteria for modified approximate proximal point algorithms in Hilbert spaces
• A note on a globally convergent Newton method for solving monotone variational inequalities
• General variational inequalities
• Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
• Self-adaptive operator splitting methods for monotone variational inequalities
• Pseudomonotone general mixed variational inequalities
• Mixed quasi variational inequalities.
• Error bounds for proximal point subproblems and associated inexact proximal point algorithms
• Inexact implicit methods for monotone general variational inequalities
• An implicit method for mixed variational inequalities
• Self-adaptive projection algorithms for general variational inequalities
• Some developments in general variational inequalities
• A globally convergent Newton method for solving strongly monotone variational inequalities
• Convergence analysis of a modified inexact implicit method for general mixed monotone variational inequalities
• A proximal method for pseudomonotone type variational-like inequalities
• A self-adaptive method for solving general mixed variational inequalities
• A UNIFIED FRAMEWORK FOR SOME INEXACT PROXIMAL POINT ALGORITHMS^*
• Variational inequalities
• Inexact implicit method with variable parameter for mixed monotone variational inequalities
• Improvements of some projection methods for monotone nonlinear variational inequalities
• Modified Goldstein--Levitin--Polyak projection method for asymmetric strongly monotone variational inequalities