Modified accelerated algorithms for solving variational inequalities
From MaRDI portal
Publication:5031166
DOI10.1080/00207160.2019.1686487zbMath1480.65130OpenAlexW2986665459MaRDI QIDQ5031166
Yi-bin Xiao, Dang Van Hieu, Yeol Je Cho
Publication date: 18 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2019.1686487
variational inequalitymonotone operatorprojection methodextragradient methodsubgradient extragradient method
Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Parallel numerical computation (65Y05) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (9)
A simple fork algorithm for solving pseudomonotone non-Lipschitz variational inequalities ⋮ Inertial extragradient algorithms with non-monotone stepsizes for pseudomonotone variational inequalities and applications ⋮ Inertial modified projection algorithm with self-adaptive technique for solving pseudo-monotone variational inequality problems in Hilbert spaces ⋮ Modified extragradient method with Bregman distance for variational inequalities ⋮ Double inertial forward-backward-forward method with adaptive step-size for variational inequalities with quasi-monotonicity ⋮ Modified extragradient method for pseudomonotone variational inequalities in infinite dimensional Hilbert spaces ⋮ A linearly convergent algorithm without prior knowledge of operator norms for solving \(\ell_1 - \ell_2\) minimization ⋮ Strong convergence of subgradient extragradient method with regularization for solving variational inequalities ⋮ Inertial projection and contraction algorithms with larger step sizes for solving quasimonotone variational inequalities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inertial Douglas-Rachford splitting for monotone inclusion problems
- A class of generalized evolution variational inequalities in Banach spaces
- Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Hilbert spaces
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Modified inertial Mann algorithm and inertial CQ-algorithm for nonexpansive mappings
- Equilibrium models and variational inequalities.
- Inertial iterative process for fixed points of certain quasi-nonexpansive mappings
- Monotone (nonlinear) operators in Hilbert space
- Asymptotic control and stabilization of nonlinear oscillators with non-isolated equilibria
- Modified Tseng's extragradient algorithms for variational inequality problems
- The projection and contraction methods for finding common solutions to variational inequality problems
- Weak and strong convergence theorems for variational inequality problems
- New extragradient-like algorithms for strongly pseudomonotone variational inequalities
- Inertial projection and contraction algorithms for variational inequalities
- Inertial subgradient extragradient algorithms with line-search process for solving variational inequality problems and fixed point problems
- Optimization problems for elastic contact models with unilateral constraints
- Optimization problems for a viscoelastic frictional contact problem with unilateral constraints
- Modified hybrid projection methods for finding common solutions to variational inequality problems
- Modified extragradient-like algorithms with new stepsizes for variational inequalities
- On some non-linear elliptic differential functional equations
- On the optimal control of variational-hemivariational inequalities
- Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
- Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space
- Equivalence of well-posedness between systems of hemivariational inequalities and inclusion problems
- A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
- A New Projection Method for Variational Inequality Problems
- THE HEAVY BALL WITH FRICTION METHOD, I. THE CONTINUOUS DYNAMICAL SYSTEM: GLOBAL EXPLORATION OF THE LOCAL MINIMA OF A REAL-VALUED FUNCTION BY ASYMPTOTIC ANALYSIS OF A DISSIPATIVE DYNAMICAL SYSTEM
- Another control condition in an iterative method for nonexpansive mappings
- Modified extragradient algorithms for solving equilibrium problems
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- An inertial modified algorithm for solving variational inequalities
- Golden ratio algorithms with new stepsize rules for variational inequalities
- Projected Reflected Gradient Methods for Monotone Variational Inequalities
- Accelerated hybrid and shrinking projection methods for variational inequality problems
- Convex analysis and monotone operator theory in Hilbert spaces
- An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping
This page was built for publication: Modified accelerated algorithms for solving variational inequalities
