Proximal subgradient algorithm for a class of nonconvex bilevel equilibrium problems

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Numerical methods for variational inequalities and related problems (65K15)

Cites Work

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Global optimization from concave minimization to concave mixed variational inequality
Neural networks for a class of bi-level variational inequalities
Proximal methods for a class of bilevel monotone equilibrium problems
Projected subgradient techniques and viscosity methods for optimization with variational inequality constraints
Regularization algorithms for solving monotone Ky Fan inequalities with application to a Nash-Cournot equilibrium model
A combined relaxation method for variational inequalities with nonlinear constraints
Equilibrium problems and variational models. Based on the meeting, Erice, Italy, June 23--July 2, 2000
Foundations of bilevel programming
A projected subgradient algorithm for bilevel equilibrium problems and applications
New existence results for equilibrium problems
The bilevel programming problem: reformulations, constraint qualifications and optimality conditions
Halpern projection methods for solving pseudomonotone multivalued variational inequalities in Hilbert spaces
An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems
Solving mixed variational inequalities beyond convexity
New explicit extragradient methods for solving a class of bilevel equilibrium problems
Extragradient subgradient methods for solving bilevel equilibrium problems
A subgradient proximal method for solving a class of monotone multivalued variational inequality problems
Inertial subgradient projection algorithms extended to equilibrium problems
An extension of the proximal point algorithm beyond convexity
Proximal point algorithms for quasiconvex pseudomonotone equilibrium problems
Golden ratio algorithms for variational inequalities
Subgradient projection methods extended to monotone bilevel equilibrium problems in Hilbert spaces
An inexact hybrid projection-proximal point algorithm for solving generalized mixed variational inequalities
A subgradient method for equilibrium problems involving quasiconvex bifunctions
On nonconvex pseudomonotone equilibrium problems with applications
One-step iterative method for bilevel equilibrium problem in Hilbert space
A minimization algorithm for equilibrium problems with polyhedral constraints
A projection-fixed point method for a class of bilevel variational inequalities with split fixed point constraints
An inertial extragradient method for solving bilevel equilibrium problems
A General Inertial Proximal Point Algorithm for Mixed Variational Inequality Problem
Bilevel convex programming models
Convergence of an adaptive penalty scheme for finding constrained equilibria
Semismooth and Semiconvex Functions in Constrained Optimization
Variational Analysis
Bilevel Optimization as a Regularization Approach to Pseudomonotone Equilibrium Problems
A projection algorithm for solving pseudomonotone equilibrium problems and it's application to a class of bilevel equilibria
A parallel subgradient projection algorithm for quasiconvex equilibrium problems under the intersection of convex sets
New subgradient extragradient methods for solving monotone bilevel equilibrium problems
Extragradient algorithms extended to equilibrium problems¶
Modified Popov's explicit iterative algorithms for solving pseudomonotone equilibrium problems