An inertial subgradient extragradient algorithm with adaptive stepsizes for variational inequality problems
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Publication:5058384
DOI10.1080/10556788.2021.1910946OpenAlexW3159873185MaRDI QIDQ5058384
Zhao Deng, Xiaokai Chang, Suoping Li, San-Yang Liu
Publication date: 20 December 2022
Published in: Optimization Methods and Software (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10556788.2021.1910946
variational inequalitiessubgradient extragradient methodinertial methodlocally Lipschitz continuousadaptive step size
Convex programming (90C25) Nonlinear programming (90C30) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Methods of reduced gradient type (90C52)
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Inertial version of generalized projected reflected gradient method ⋮ Subgradient extragradient method with double inertial steps for variational inequalities ⋮ New inertial forward-backward type for variational inequalities with quasi-monotonicity
Cites Work
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- Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
- Inertial Douglas-Rachford splitting for monotone inclusion problems
- An inertial Tseng's type proximal algorithm for nonsmooth and nonconvex optimization problems
- 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
- Realization of the hybrid method for Mann iterations
- Alternating direction augmented Lagrangian methods for semidefinite programming
- A class of ADMM-based algorithms for three-block separable convex programming
- An inertial forward-backward algorithm for monotone inclusions
- A modified projected gradient method for monotone variational inequalities
- Inertial subgradient extragradient algorithms with line-search process for solving variational inequality problems and fixed point problems
- Convergent prediction-correction-based ADMM for multi-block separable convex programming
- Modified subgradient extragradient method for variational inequality problems
- An explicit extragradient algorithm for solving variational inequalities
- Golden ratio algorithms for variational inequalities
- An extragradient algorithm for monotone variational inequalities
- Modified extragradient-like algorithms with new stepsizes for variational inequalities
- A generalization of linearized alternating direction method of multipliers for solving two-block separable convex programming
- An extragradient-type algorithm for non-smooth variational inequalities
- An inertial alternating direction method of multipliers
- Modification of the extra-gradient method for solving variational inequalities and certain optimization problems
- Splitting Algorithms for the Sum of Two Nonlinear Operators
- Projection methods for variational inequalities with application to the traffic assignment problem
- On the Goldstein-Levitin-Polyak gradient projection method
- A New Projection Method for Variational Inequality Problems
- A variant of korpelevich’s method for variational inequalities with a new search strategy
- Proximal extrapolated gradient methods for variational inequalities
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- A Dynamical Approach to an Inertial Forward-Backward Algorithm for Convex Minimization
- Projected Reflected Gradient Methods for Monotone Variational Inequalities
- An Outer Approximation Method for the Variational Inequality Problem
- Variable metric forward–backward splitting with applications to monotone inclusions in duality
- 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
