A Second Order Dynamical System and Its Discretization for Strongly Pseudo-monotone Variational Inequalities

DOI10.1137/20M1335297OpenAlexW3192043353MaRDI QIDQ5012322

Phan Tu Vuong

Publication date: 1 September 2021

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1335297

zbMATH Keywords

variational inequalitydynamical systemlinear convergenceexponential convergencemonotone inclusionstrong pseudo-monotonicity

Mathematics Subject Classification ID

Nonlinear programming (90C30) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Methods of reduced gradient type (90C52)

Related Items (3)

A second-order dynamical system for equilibrium problems ⋮ A family of inertial derivative-free projection methods for constrained nonlinear pseudo-monotone equations with applications ⋮ A new dynamical system with self-adaptive dynamical stepsize for pseudomonotone mixed variational inequalities

Uses Software

• AIR tools
• iPiasco

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Qualitative properties of strongly pseudomonotone variational inequalities
• A dynamical system associated with the fixed points set of a nonexpansive operator
• Continuous gradient projection method in Hilbert spaces
• Stability for equilibrium problems: From variational inequalities to dynamical systems
• Modified projection method for strongly pseudomonotone variational inequalities
• An inertial forward-backward algorithm for monotone inclusions
• iPiasco: inertial proximal algorithm for strongly convex optimization
• Solution methods for pseudomonotone variational inequalities
• 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
• Projected dynamical systems and variational inequalities with applications
• The global exponential stability of a dynamical system for solving variational inequalities
• A dynamical system for strongly pseudo-monotone equilibrium problems
• The forward-backward-forward method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces
• Convergence of a relaxed inertial proximal algorithm for maximally monotone operators
• Convergence of a relaxed inertial forward-backward algorithm for structured monotone inclusions
• AIR tools II: algebraic iterative reconstruction methods, improved implementation
• AIR tools -- a MATLAB package of algebraic iterative reconstruction methods
• Second Order Forward-Backward Dynamical Systems For Monotone Inclusion Problems
• Generalized Concavity
• A New Projection Method for Variational Inequality Problems
• 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
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• A Dynamical Approach to an Inertial Forward-Backward Algorithm for Convex Minimization
• On the linear convergence rate of a relaxed forward–backward splitting method
• Some methods of speeding up the convergence of iteration methods
• Convex analysis and monotone operator theory in Hilbert spaces
• An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping

This page was built for publication: A Second Order Dynamical System and Its Discretization for Strongly Pseudo-monotone Variational Inequalities