A fully adaptive method for variational inequalities with quasi-monotonicity

DOI10.1016/j.apnum.2023.08.005OpenAlexW4386074806MaRDI QIDQ6086839

Yekini Shehu, Olaniyi Samuel Iyiola

Publication date: 10 November 2023

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2023.08.005

zbMATH Keywords

variational inequalitiesweak convergenceerror boundquasi-monotonestrong convergence and linear convergence

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Cites Work

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• Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Hilbert spaces
• Qualitative properties of strongly pseudomonotone variational inequalities
• The subgradient extragradient method for solving variational inequalities in Hilbert space
• An approximate proximal-extragradient type method for monotone variational inequalities
• Convergence of one-step projected gradient methods for variational inequalities
• An inertial Popov's method for solving pseudomonotone variational inequalities
• Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point problems
• A modification of the Arrow-Hurwicz method for search of saddle points
• Convergence rate analysis of iteractive algorithms for solving variational inequality problems
• Extragradient methods for pseudomonotone variational inequalities
• On the weak convergence of the extragradient method for solving pseudo-monotone variational inequalities
• On the convergence of the gradient projection method for convex optimal control problems with bang-bang solutions
• Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions
• Weak convergence of iterative methods for solving quasimonotone variational inequalities
• Modified forward-backward splitting method for variational inclusions
• A projected extrapolated gradient method with larger step size for monotone variational inequalities
• Explicit extragradient-like method with adaptive stepsizes for pseudomonotone variational inequalities
• Self-adaptive subgradient extragradient method with inertial modification for solving monotone variational inequality problems and quasi-nonexpansive fixed point problems
• New inertial forward-backward type for variational inequalities with quasi-monotonicity
• Inertial projection and contraction algorithms with larger step sizes for solving quasimonotone variational inequalities
• Golden ratio algorithms for variational inequalities
• A new low-cost double projection method for solving variational inequalities
• An extragradient algorithm for monotone variational inequalities
• Inertial extragradient algorithms for strongly pseudomonotone variational inequalities
• Self adaptive inertial subgradient extragradient algorithms for solving pseudomonotone variational inequality problems
• A self-adaptive method for pseudomonotone equilibrium problems and variational inequalities
• A double projection method for solving variational inequalities without monotonicity
• Inertial version of generalized projected reflected gradient method
• Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
• Application Of Khobotov’s Algorithm To Variational Inequalities And Network Equilibrium Problems
• Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space
• Modification of the extra-gradient method for solving variational inequalities and certain optimization problems
• Modified subgradient extragradient algorithms for solving monotone variational inequalities
• Strong Convergence of a Projection-Type Method for Mixed Variational Inequalities in Hilbert Spaces
• A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
• The extragradient method for quasi-monotone variational inequalities
• A Forward-Backward Splitting Method for Monotone Inclusions Without Cocoercivity
• A subgradient extragradient algorithm with inertial effects for solving strongly pseudomonotone variational inequalities
• A new projection-type method for solving multi-valued mixed variational inequalities without monotonicity
• Projected Reflected Gradient Methods for Monotone Variational Inequalities
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Self-adaptive inertial subgradient extragradient algorithm for solving pseudomonotone variational inequalities

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