New subgradient extragradient methods for common solutions to equilibrium problems
From MaRDI portal
Publication:2364128
DOI10.1007/s10589-017-9899-4zbMath1370.65028OpenAlexW2586209465MaRDI QIDQ2364128
Publication date: 18 July 2017
Published in: Computational Optimization and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10589-017-9899-4
algorithmconvergencenumerical resultsvariational inequalitysubgradient methodHilbert spacesparallel computingequilibrium problemextragradient 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
An iterative method for split equality variational inequality problems for non-Lipschitz pseudomonotone mappings ⋮ Regularization extragradient methods for equilibrium programming in Hilbert spaces ⋮ A self-adaptive parallel subgradient extragradient method for finite family of pseudomonotone equilibrium and fixed point problems ⋮ An inertial-like proximal algorithm for equilibrium problems ⋮ Strong convergence analysis of common variational inclusion problems involving an inertial parallel monotone hybrid method for a novel application to image restoration ⋮ A self-adaptive inertial subgradient extragradient algorithm for solving bilevel equilibrium problems ⋮ New inertial algorithm for a class of equilibrium problems ⋮ The Tikhonov regularization for vector equilibrium problems ⋮ STRONG CONVERGENCE OF A NEW HYBRID ALGORITHM FOR FIXED POINT PROBLEMS AND EQUILIBRIUM PROBLEMS ⋮ A new hybrid projection algorithm for equilibrium problems and asymptotically quasi \(\phi \)-nonexpansive mappings in Banach spaces ⋮ The new extragradient method extended to equilibrium problems ⋮ A new projection method for a class of variational inequalities ⋮ Self-adaptive algorithms for an equilibrium split problem in Hilbert spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Parallel hybrid iterative methods for variational inequalities, equilibrium problems, and common fixed point problems
- Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings
- On the effectiveness of projection methods for convex feasibility problems with linear inequality constraints
- Common solutions to variational inequalities
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Dual extragradient algorithms extended to equilibrium problems
- Equilibrium models and variational inequalities.
- Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
- On systems of variational inequalities
- Equilibrium programming using proximal-like algorithms
- Combined relaxation method for solving vector equilibrium problems
- Combined relaxation methods for variational inequalities
- The convergence of proximal methods to fixed points of extremal mappings and estimates of their rate of convergence
- Extragradient methods and linesearch algorithms for solving Ky Fan inequalities and fixed point problems
- Parallel and sequential hybrid methods for a finite family of asymptotically quasi \(\phi \)-nonexpansive mappings
- Generalized monotone bifunctions and equilibrium problems
- Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
- Parallel methods for regularizing systems of equations involving accretive operators
- Convergence of an adaptive penalty scheme for finding constrained equilibria
- On Projection Algorithms for Solving Convex Feasibility Problems
- On extragradient-viscosity methods for solving equilibrium and fixed point problems in a Hilbert space
- PARALLEL EXTRAGRADIENT-PROXIMAL METHODS FOR SPLIT EQUILIBRIUM PROBLEMS
- A PARALLEL HYBRID METHOD FOR EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITIES AND NONEXPANSIVE MAPPINGS IN HILBERT SPACE
- Hybrid projection methods for equilibrium problems with non‐Lipschitz type bifunctions
- Extragradient algorithms extended to equilibrium problems¶
- Convex Analysis
