Second-order dynamical systems associated to variational inequalities

DOI10.1080/00036811.2016.1157589zbMath1371.34090arXiv1512.04702OpenAlexW2964150249WikidataQ58162226 ScholiaQ58162226MaRDI QIDQ5269381

Ernö Robert Csetnek, Radu Ioan Boţ

Publication date: 15 June 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04702

zbMATH Keywords

convex optimizationdynamical systemsLyapunov analysisnonautonomous systems

Mathematics Subject Classification ID

Convex programming (90C25) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Nonlinear differential equations in abstract spaces (34G20) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Dynamical systems in optimization and economics (37N40)

Related Items (8)

Convergence analysis and applications of the inertial algorithm solving inclusion problems ⋮ Levenberg-Marquardt dynamics associated to variational inequalities ⋮ The heavy ball method regularized by Tikhonov term. Simultaneous convergence of values and trajectories ⋮ Second-order dynamical systems with penalty terms associated to monotone inclusions ⋮ Gradient-type penalty method with inertial effects for solving constrained convex optimization problems with smooth data ⋮ An inertial proximal-gradient penalization scheme for constrained convex optimization problems ⋮ Second Order Forward-Backward Dynamical Systems For Monotone Inclusion Problems ⋮ A second-order dynamical system with Hessian-driven damping and penalty term associated to variational inequalities

Cites Work

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• An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping

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