Dynamical system related to primal-dual splitting projection methods

DOI10.1007/s10884-021-10068-4zbMath1530.34054arXiv2102.03807OpenAlexW3212223415WikidataQ115383002 ScholiaQ115383002MaRDI QIDQ6142325

Raj Narayan Dhara, Ewa M. Bednarczuk, Krzysztof E. Rutkowski

Publication date: 21 December 2023

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.03807

zbMATH Keywords

existence and uniqueness of solutionsprojected dynamical systemsextendability of solutionsautonomous ordinary differential equationslocally Lipschitz vector field

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Evolution inclusions (34G25) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A dynamical system associated with the fixed points set of a nonexpansive operator
• Some problems on ordinary differential equations in Banach spaces
• Continuous gradient projection method in Hilbert spaces
• On Peano's theorem in Banach spaces
• Functional analysis, Sobolev spaces and partial differential equations
• Directional differentiability of metric projections onto moving sets at boundary points
• The continuity of metric projections as functions of the data
• Existence of solutions for ordinary differential equations in Banach spaces
• Ordinary differential equations in Banach spaces
• On the stability of globally projected dynamical systems
• Full stability of general parametric variational systems
• A primal-dual dynamical approach to structured convex minimization problems
• On Lipschitz continuity of projections onto polyhedral moving sets
• Newton-like dynamics and forward-backward methods for structured monotone inclusions in Hilbert spaces
• Transmutations, singular and fractional differential equations with applications to mathematical physics
• Convergence rates for forward-backward dynamical systems associated with strongly monotone inclusions
• Strong solutions for differential equations in abstract spaces
• Differential equation s in abstract spaces
• Best Approximation from the Kuhn-Tucker Set of Composite Monotone Inclusions
• Bounded solutions of finite lifetime to differential equations in Banach spaces
• Full Lipschitzian and Hölderian Stability in Optimization with Applications to Mathematical Programming and Optimal Control
• Evolution equations for maximal monotone operators: asymptotic analysis in continuous and discrete time
• Dualization of Generalized Equations of Maximal Monotone Type
• Lipschitz Continuity of Solutions of Variational Inequalities with a Parametric Polyhedral Constraint
• On Lipschitz-like continuity of a class of set-valued mappings
• A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces
• Convex analysis and monotone operator theory in Hilbert spaces

This page was built for publication: Dynamical system related to primal-dual splitting projection methods