Relaxed single projection methods for solving bilevel variational inequality problems in Hilbert spaces
From MaRDI portal
Publication:6195272
DOI10.1007/s11067-023-09594-zMaRDI QIDQ6195272
Yekini Shehu, Jen-Chih Yao, Ferdinard Udochukwu Ogbuisi
Publication date: 13 March 2024
Published in: Networks and Spatial Economics (Search for Journal in Brave)
Hilbert spacesmonotone operatorprojection methodbilevel variational inequality problemalternated inertial
Convex programming (90C25) Numerical optimization and variational techniques (65K10) Set-valued and variational analysis (49J53) Numerical methods based on nonlinear programming (49M37)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weak and strong convergence theorems for variational inequality and fixed point problems with Tseng's extragradient method
- Algorithms for a class of bilevel programs involving pseudomonotone variational inequalities
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Strong convergence result for solving monotone variational inequalities in Hilbert space
- Regularized and inertial algorithms for common fixed points of nonlinear operators
- Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point problems
- Proximal methods for a class of bilevel monotone equilibrium problems
- Solving bilevel linear programs using multiple objective linear programming
- Combined relaxation methods for variational inequalities
- Asymptotic control and stabilization of nonlinear oscillators with non-isolated equilibria
- Foundations of bilevel programming
- Modified Tseng's extragradient algorithms for variational inequality problems
- Extragradient methods for solving non-Lipschitzian pseudo-monotone variational inequalities
- On the proximal gradient algorithm with alternated inertia
- Modified subgradient extragradient method for variational inequality problems
- Solving two-level variational inequality
- Regularization projection method for solving bilevel variational inequality problem
- Iterative method with inertial terms for nonexpansive mappings: applications to compressed sensing
- The forward-backward-forward method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces
- A strong convergence theorem for Tseng's extragradient method for solving variational inequality problems
- Projection methods with alternating inertial steps for variational inequalities: weak and linear convergence
- Subgradient projection methods extended to monotone bilevel equilibrium problems in Hilbert spaces
- Strong convergence of extragradient methods for solving bilevel pseudo-monotone variational inequality problems
- On existence and solution methods for strongly pseudomonotone equilibrium problems
- The extragradient algorithm with inertial effects for solving the variational inequality
- 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
- Nonlinear Ill-posed Problems of Monotone Type
- A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
- Bilevel convex programming models
- 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
- A generic online acceleration scheme for optimization algorithms via relaxation and inertia
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- Bilevel Optimization as a Regularization Approach to Pseudomonotone Equilibrium Problems
- Minimum-norm solution of variational inequality and fixed point problem in banach spaces
- A projection algorithm for solving pseudomonotone equilibrium problems and it's application to a class of bilevel equilibria
- Improved inertial extragradient methods for solving pseudo-monotone variational inequalities
- A projection and contraction method with adaptive step sizes for solving bilevel pseudo-monotone variational inequality problems
- A strong convergence of modified subgradient extragradient method for solving bilevel pseudomonotone variational inequality problems
- Relaxed extragradient algorithm for solving pseudomonotone variational inequalities in Hilbert spaces
- A modified Korpelevich's method convergent to the minimum-norm solution of a variational inequality
- Bilevel Programming Problems
- Modified Tseng's extragradient methods for solving pseudo-monotone variational inequalities
- Some methods of speeding up the convergence of iteration methods
- An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping
This page was built for publication: Relaxed single projection methods for solving bilevel variational inequality problems in Hilbert spaces