A dynamical system for strongly pseudo-monotone equilibrium problems

DOI10.1007/s10957-020-01669-yzbMath1481.47094OpenAlexW3026610421MaRDI QIDQ2188943

Phan Tu Vuong, Jean Jacques Strodiot

Publication date: 15 June 2020

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-020-01669-y

zbMATH Keywords

error bounddynamical systemglobal exponential stabilityequilibrium problemstrong pseudo-monotonicity

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Numerical methods in optimal control (49M99)

Related Items (13)

Decomposition dynamical systems for solving variational inequalities ⋮ A second-order dynamical system for equilibrium problems ⋮ Dynamical systems for solving variational inequalities ⋮ A proximal neurodynamic model for solving inverse mixed variational inequalities ⋮ A new dynamical system with self-adaptive dynamical stepsize for pseudomonotone mixed variational inequalities ⋮ A dynamic model to solve weighted linear complementarity problems ⋮ Fixed-time neural networks with time-invariant and time-varying coefficients for mixed variational inequalities ⋮ An inverse-free dynamical system for solving the absolute value equations ⋮ Dynamical system for solving bilevel variational inequalities ⋮ Continuous-time ergodic algorithm for solving monotone variational inequalities ⋮ An explicit subgradient extragradient algorithm with self-adaptive stepsize for pseudomonotone equilibrium problems in Banach spaces ⋮ A Second Order Dynamical System and Its Discretization for Strongly Pseudo-monotone Variational Inequalities ⋮ A gradient-like regularized dynamics for monotone equilibrium problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Iterative methods for solving monotone equilibrium problems via dual gap functions
• Qualitative properties of strongly pseudomonotone variational inequalities
• A dynamical system associated with the fixed points set of a nonexpansive operator
• The Tikhonov regularization extended to equilibrium problems involving pseudomonotone bifunctions
• Stability for equilibrium problems: From variational inequalities to dynamical systems
• Modified projection method for strongly pseudomonotone variational inequalities
• A class of shrinking projection extragradient methods for solving non-monotone equilibrium problems in Hilbert spaces
• Extra-proximal methods for solving two-person nonzero-sum games
• Regularization algorithms for solving monotone Ky Fan inequalities with application to a Nash-Cournot equilibrium model
• Equilibrium programming: Proximal methods
• Equilibrium problems with generalized monotone bifunctions and applications to variational inequalities
• The Glowinski-Le Tallec splitting method revisited in the framework of equilibrium problems in Hilbert spaces
• Nonlinear programming techniques for equilibria
• On the global exponential stability of a projected dynamical system for strongly pseudomonotone variational inequalities
• Seven kinds of monotone maps
• Nash equilibria, variational inequalities, and dynamical systems
• The convergence of proximal methods to fixed points of extremal mappings and estimates of their rate of convergence
• The global exponential stability of a dynamical system for solving variational inequalities
• The forward-backward-forward method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces
• On existence and solution methods for strongly pseudomonotone equilibrium problems
• Existence and asymptotic behaviour for solutions of dynamical equilibrium systems
• Methods for solving equilibrium programming problems
• A PROXIMAL POINT-TYPE ALGORITHM FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS
• Convergence of an adaptive penalty scheme for finding constrained equilibria
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• MULTI-STEP ALGORITHMS FOR SOLVING EQUILIBRIUM PROBLEMS
• Extragradient algorithms extended to equilibrium problems¶
• Pseudomonotone variational inequalities: convergence of the auxiliary problem method

This page was built for publication: A dynamical system for strongly pseudo-monotone equilibrium problems