A unified approach to the asymptotic almost-equivalence of evolution systems without Lipschitz conditions

DOI10.1016/j.na.2011.02.030zbMath1219.34070OpenAlexW1997663303WikidataQ57652219 ScholiaQ57652219MaRDI QIDQ540221

Juan Peypouquet, Felipe Alvarez

Publication date: 1 June 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/131738

zbMATH Keywords

asymptotic behaviorevolution systemsalmost-orbitsasymptotic almost-equivalence

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Asymptotic properties of solutions to ordinary differential equations (34D05) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (5)

Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity ⋮ Forward-backward approximation of nonlinear semigroups in finite and infinite horizon ⋮ Dynamical behavior of a stochastic forward-backward algorithm using random monotone operators ⋮ Ergodic Convergence of a Stochastic Proximal Point Algorithm ⋮ Asymptotic equivalence of evolution equations governed by cocoercive operators and their forward discretizations

Cites Work

• Asymptotic almost-equivalence of Lipschitz evolution systems in Banach spaces
• Asymptotic equivalence and Kobayashi-type estimates for nonautonomous monotone operators in Banach spaces
• On the asymptotic behavior of a nonlinear contraction semigroup and the resolvent iteration
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• Asymptotic behavior for almost-orbits of a reversible semigroup of non-Lipschitzian mappings in a metric space.
• Asymptotic behavior of uniformly asymptotically almost nonexpansive curves in a Hilbert space
• Asymptotic behavior for almost-orbits of asymptotically nonexpansive type mappings in a metric space
• A contribution to the theory of divergent sequences
• On the Convergence of the Proximal Point Algorithm for Convex Minimization
• Asymptotic Behavior of Almost-Orbits of Nonlinear Semigroups of Non- Lipschitzian Mappings in Hilbert Spaces
• On the asymptotic behaviour of almost-orbits of nonlinear contraction semigroups in Banach spaces
• Convergence of almost-orbits of nonexpansive semigroups in Banach spaces
• Strong asymptotic behavior of almost-orbits of nonlinear semigroups
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