An accelerated subgradient extragradient algorithm for solving bilevel variational inequality problems involving non-Lipschitz operator

DOI10.1016/j.cnsns.2023.107549zbMath1530.47077MaRDI QIDQ6058991

No author found.

Publication date: 1 November 2023

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

strong convergencenon-Lipschitz continuoussubgradient extragradient algorithmbilevel variational inequality problems

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Numerical methods for variational inequalities and related problems (65K15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algorithms for a class of bilevel programs involving pseudomonotone variational inequalities
• The subgradient extragradient method for solving variational inequalities in Hilbert space
• Approximation of zeros of inverse strongly monotone operators in Banach spaces
• Strong convergence result for solving monotone variational inequalities in Hilbert space
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Self-adaptive inertial single projection methods for variational inequalities involving non-Lipschitz and Lipschitz operators with their applications to optimal control problems
• Proximal methods for a class of bilevel monotone equilibrium problems
• A modified subgradient extragradient method for solving the variational inequality problem
• Regularization projection method for solving bilevel variational inequality problem
• A novel inertial projection and contraction method for solving pseudomonotone variational inequality problems
• Two projection-based methods for bilevel pseudomonotone variational inequalities involving non-Lipschitz operators
• Strong convergence for monotone bilevel equilibria with constraints of variational inequalities and fixed points using subgradient extragradient implicit rule
• Two adaptive modified subgradient extragradient methods for bilevel pseudomonotone variational inequalities with applications
• On generalized extragradient implicit method for systems of variational inequalities with constraints of variational inclusion and fixed point problems
• On Mann implicit composite subgradient extragradient methods for general systems of variational inequalities with hierarchical variational inequality constraints
• Projection methods with alternating inertial steps for variational inequalities: weak and linear convergence
• An accelerated extragradient algorithm for bilevel pseudomonotone variational inequality problems with application to optimal control problems
• A new inertial double-projection method for solving variational inequalities
• Modified hybrid projection methods for finding common solutions to variational inequality problems
• Stochastic weighted variational inequalities in non-pivot Hilbert spaces with applications to a transportation model
• Modified extragradient-like algorithms with new stepsizes for variational inequalities
• A new double projection algorithm for variational inequalities
• A splitting algorithm for a class of bilevel equilibrium problems involving nonexpansive mappings
• A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
• A New Projection Method for Variational Inequality Problems
• Variational Analysis and Applications
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Transportation Network Policy Modeling with Goal Targets and Generalized Penalty Functions
• A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
• Quasi-Inertial Tseng’s Extragradient Algorithms for Pseudomonotone Variational Inequalities and Fixed Point Problems of Quasi-Nonexpansive Operators
• Hybrid inertial subgradient extragradient methods for variational inequalities and fixed point problems involving asymptotically nonexpansive mappings
• Two inertial subgradient extragradient algorithms for variational inequalities with fixed-point constraints
• A Hybrid Newton Method for Stochastic Variational Inequality Problems and Application to Traffic Equilibrium
• A strong convergence of modified subgradient extragradient method for solving bilevel pseudomonotone variational inequality problems
• On general implicit hybrid iteration method for triple hierarchical variational inequalities with hierarchical variational inequality constraints
• Self-adaptive inertial subgradient extragradient algorithm for solving pseudomonotone variational inequalities

This page was built for publication: An accelerated subgradient extragradient algorithm for solving bilevel variational inequality problems involving non-Lipschitz operator