Accelerated hybrid methods for solving pseudomonotone equilibrium problems
From MaRDI portal
Publication:2216605
DOI10.1007/s10444-020-09778-yzbMath1455.65084OpenAlexW3037792195MaRDI QIDQ2216605
Pham Kim Quy, La Thi Hong, Le Van Vy, Dang Van Hieu
Publication date: 16 December 2020
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-020-09778-y
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Related Items
Regularization extragradient methods for equilibrium programming in Hilbert spaces ⋮ Modified inertial subgradient extragradient method for equilibrium problems ⋮ A strongly convergent algorithm for solving multiple set split equality equilibrium and fixed point problems in Banach spaces ⋮ One-step iterative method for bilevel equilibrium problem in Hilbert space ⋮ Strongly convergent inertial extragradient type methods for equilibrium problems ⋮ A linesearch projection algorithm for solving equilibrium problems without monotonicity in Hilbert spaces ⋮ New extragradient methods for solving equilibrium problems in Banach spaces ⋮ Unnamed Item ⋮ Fast inertial extragradient algorithms for solving non-Lipschitzian equilibrium problems without monotonicity condition in real Hilbert spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An inertial forward-backward algorithm for the minimization of the sum of two nonconvex functions
- Application of the proximal point method to nonmonotone equilibrium problems
- Equilibrium models and variational inequalities.
- Inertial iterative process for fixed points of certain quasi-nonexpansive mappings
- An inertial forward-backward algorithm for monotone inclusions
- Regularization algorithms for solving monotone Ky Fan inequalities with application to a Nash-Cournot equilibrium model
- Equilibrium programming using proximal-like algorithms
- An inertial-like proximal algorithm for equilibrium problems
- New inertial algorithm for a class of equilibrium problems
- Convergence analysis of a new algorithm for strongly pseudomontone equilibrium problems
- Nonlinear programming techniques for equilibria
- Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
- Extragradient methods and linesearch algorithms for solving Ky Fan inequalities and fixed point problems
- Weak and strong convergence of an inertial proximal method for solving Ky Fan minimax inequalities
- Projection methods for solving split equilibrium problems
- Hybrid methods for solving simultaneously an equilibrium problem and countably many fixed point problems in a Hilbert space
- Existence and solution methods for equilibria
- A new inertial double-projection method for solving variational inequalities
- Gradient projection-type algorithms for solving equilibrium problems and its applications
- D-gap functions and descent techniques for solving equilibrium problems
- Strong convergence of the CQ method for fixed point iteration processes
- A General Inertial Proximal Point Algorithm for Mixed Variational Inequality Problem
- Convergence of an adaptive penalty scheme for finding constrained equilibria
- A New Projection Method for Variational Inequality Problems
- Modified extragradient algorithms for solving equilibrium problems
- Weak Convergence of a Relaxed and Inertial Hybrid Projection-Proximal Point Algorithm for Maximal Monotone Operators in Hilbert Space
- Bilevel Optimization as a Regularization Approach to Pseudomonotone Equilibrium Problems
- On extragradient-viscosity methods for solving equilibrium and fixed point problems in a Hilbert space
- Extragradient algorithms extended to equilibrium problems¶
- Some methods of speeding up the convergence of iteration methods
- Convex Analysis
- 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