Long time behavior of quasi-convex and pseudo-convex gradient systems on Riemannian manifolds

DOI10.2298/FIL1714571AzbMath1499.34263OpenAlexW2522678063WikidataQ115229960 ScholiaQ115229960MaRDI QIDQ5020438

Parviz Ahmadi, Hadi Khatibzadeh

Publication date: 5 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1714571a

zbMATH Keywords

convergenceRiemannian manifoldgradient systemquasi-convex function

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05) Ordinary differential equations and systems on manifolds (34C40)

Related Items (2)

Dynamical and proximal approaches for approximating fixed points of quasi-nonexpansive mappings ⋮ An evolution equation governed by a quasi-nonexpansive mapping on Hadamard manifolds and its backward discretization

Cites Work

• The gradient and heavy ball with friction dynamical systems: The quasiconvex case
• Asymptotic convergence of nonlinear contraction semigroups in Hilbert space
• Convergence and rate of convergence of a non-autonomous gradient system on Hadamard manifolds
• Steepest descent method with a generalized Armijo search for quasiconvex functions on Riemannian manifolds
• Monotone vector fields and the proximal point algorithm on Hadamard manifolds
• Proximal Point Algorithm On Riemannian Manifolds
• Riemannian geometry and geometric analysis
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