An explicit algorithm for solving monotone variational inequalities
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Publication:2238840
DOI10.1016/j.apnum.2021.09.013zbMath1480.49016OpenAlexW3202482833MaRDI QIDQ2238840
Aviv Gibali, Phan Tu Vuong, Duong Viet Thong
Publication date: 2 November 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2021.09.013
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Existence theories for problems in abstract spaces (49J27)
Related Items (6)
Inertial version of generalized projected reflected gradient method ⋮ A generalized proximal point algorithm with new step size update for solving monotone variational inequalities in real Hilbert spaces ⋮ Self adaptive iterative algorithm for solving variational inequality problems and fixed point problems in Hilbert spaces ⋮ A modified generalized version of projected reflected gradient method in Hilbert spaces ⋮ Modified subgradient extragradient algorithms with a new line-search rule for variational inequalities ⋮ An inertial method for a solution of split equality of monotone inclusion and the f$$ f $$‐fixed point problems in Banach spaces
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Cites Work
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- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- On the effectiveness of projection methods for convex feasibility problems with linear inequality constraints
- Iterative methods for fixed point problems in Hilbert spaces
- New trends in general variational inequalities
- Nonlinear programming and variational inequality problems. A unified approach
- Combined relaxation method for generalized variational inequalities
- Tseng type methods for solving inclusion problems and its applications
- On the weak convergence of the extragradient method for solving pseudo-monotone variational inequalities
- Convergence of a splitting inertial proximal method for monotone operators
- AIR tools II: algebraic iterative reconstruction methods, improved implementation
- Convergence of an extragradient-type method for variational inequality with applications to optimal control problems
- AIR tools -- a MATLAB package of algebraic iterative reconstruction methods
- On the maximal monotonicity of subdifferential mappings
- Exact matrix completion via convex optimization
- The Rate of Convergence of Nesterov's Accelerated Forward-Backward Method is Actually Faster Than $1/k^2$
- Activity Identification and Local Linear Convergence of Forward--Backward-type Methods
- Splitting Algorithms for the Sum of Two Nonlinear Operators
- Convergence Rates of Inertial Forward-Backward Algorithms
- An alternating direction method of multipliers with a worst-case $O(1/n^2)$ convergence rate
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- DC-Programming versus ℓ0-Superiorization for Discrete Tomography
- Projected Reflected Gradient Methods for Monotone Variational Inequalities
- 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
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