An evolution equation governed by a quasi-nonexpansive mapping on Hadamard manifolds and its backward discretization

DOI10.2298/FIL2007217KzbMath1499.34264OpenAlexW3127132610MaRDI QIDQ5865296

Hadi Khatibzadeh, Mohsen Rahimi Piranfar

Publication date: 13 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2007217k

zbMATH Keywords

asymptotic behaviorHadamard manifoldquasi-nonexpansive mappingfirst-order evolution equation

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Asymptotic properties of solutions to ordinary differential equations (34D05) Ordinary differential equations and systems on manifolds (34C40)

Related Items (1)

On the generation of nonlinear semigroups of contractions and evolution equations on Hadamard manifolds

Cites Work

• On the convergence of inexact proximal point algorithm on Hadamard manifolds
• Resolvents of set-valued monotone vector fields in Hadamard manifolds
• Dynamical and proximal approaches for approximating fixed points of quasi-nonexpansive mappings
• The gradient and heavy ball with friction dynamical systems: The quasiconvex case
• Iterative algorithms for nonexpansive mappings on Hadamard manifolds
• Asymptotic convergence of nonlinear contraction semigroups in Hilbert space
• Convergence and rate of convergence of a non-autonomous gradient system on Hadamard manifolds
• Monotone vector fields and the proximal point algorithm on Hadamard manifolds
• Semi-group generated by evolution equations associated with monotone vector fields
• Long time behavior of quasi-convex and pseudo-convex gradient systems on Riemannian manifolds
• Riemannian geometry and geometric analysis
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