Convergence rate of a modified extragradient method for pseudomonotone variational inequalities

DOI10.1007/s10013-016-0207-xOpenAlexW2403519463MaRDI QIDQ2405481

Pham Duy Khanh

Publication date: 25 September 2017

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-016-0207-x

zbMATH Keywords

Lipschitz continuitypseudomonotonicitymodified extragradient methodR-linear convergence ratestrong pseudomonotonicityQ-linear convergence rateTseng's regularity assumption

Mathematics Subject Classification ID

Related Items (10)

Self-adaptive subgradient extragradient-type methods for solving variational inequalities ⋮ Fast alternated inertial projection algorithms for pseudo-monotone variational inequalities ⋮ On Korpelevich's extragradient algorithm ⋮ Linesearch methods for bilevel split pseudomonotone variational inequality problems ⋮ Resolvent-Mann-type algorithm for bilevel problems with split feasibility problem constraint ⋮ Two modified extragradient algorithms for solving variational inequalities ⋮ Relaxed extragradient algorithm for solving pseudomonotone variational inequalities in Hilbert spaces ⋮ Modified extragradient method for pseudomonotone variational inequalities in infinite dimensional Hilbert spaces ⋮ Affine minimax variational inequalities and matrix two-person games ⋮ A New Extragradient Method for Strongly Pseudomonotone Variational Inequalities

Cites Work

• Unnamed Item
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• A modified extragradient method for infinite-dimensional variational inequalities
• Qualitative properties of strongly pseudomonotone variational inequalities
• Minimax variational inequalities
• Modified projection method for strongly pseudomonotone variational inequalities
• Regularization algorithms for solving monotone Ky Fan inequalities with application to a Nash-Cournot equilibrium model
• Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
• Using the Banach contraction principle to implement the proximal point method for multivalued monotone variational inequalities
• Seven kinds of monotone maps
• On linear convergence of iterative methods for the variational inequality problem
• On existence and solution methods for strongly pseudomonotone equilibrium problems
• Two-Metric Projection Methods for Constrained Optimization

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