Dynamical system for solving bilevel variational inequalities

DOI10.1007/s10898-021-01029-8zbMath1494.47113OpenAlexW3158341357MaRDI QIDQ2046318

Pham Ky Anh, Trinh Ngoc Hai

Publication date: 17 August 2021

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-021-01029-8

zbMATH Keywords

strong monotonicitydynamical systembilevel variational inequalityparamonotonicity

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25)

Related Items (3)

On regularized forward-backward dynamical systems associated with structured monotone inclusions ⋮ Population games with instantaneous behavior and the Rosenzweig-MacArthur model ⋮ A gradient-like regularized dynamics for monotone equilibrium problems

Cites Work

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• Fixed point optimization algorithm and its application to power control in CDMA data networks
• Stability for equilibrium problems: From variational inequalities to dynamical systems
• Modified projection method for strongly pseudomonotone variational inequalities
• An ergodic algorithm for the power-control games for CDMA data networks
• Convergence of direct methods for paramonotone variational inequalities
• Projected subgradient techniques and viscosity methods for optimization with variational inequality constraints
• Combined relaxation methods for variational inequalities
• A projected subgradient algorithm for bilevel equilibrium problems and applications
• On the weak convergence of the extragradient method for solving pseudo-monotone variational inequalities
• On the global exponential stability of a projected dynamical system for strongly pseudomonotone variational inequalities
• Nash equilibria, variational inequalities, and dynamical systems
• Regularization projection method for solving bilevel variational inequality problem
• The global exponential stability of a dynamical system for solving variational inequalities
• An explicit extragradient algorithm for solving variational inequalities
• A dynamical system for strongly pseudo-monotone equilibrium problems
• A projection-fixed point method for a class of bilevel variational inequalities with split fixed point constraints
• The Bruck's ergodic iteration method for the Ky Fan inequality over the fixed point set
• A forward-backward-forward differential equation and its asymptotic properties
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Extragradient algorithms extended to equilibrium problems¶
• Convex analysis and monotone operator theory in Hilbert spaces

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