Gap functions and globally projected differential inclusions on Riemannian manifolds

DOI10.1007/s12215-018-0361-yzbMath1419.58013OpenAlexW2885715475WikidataQ115376980 ScholiaQ115376980MaRDI QIDQ2311407

Hajar Radmanesh

Publication date: 10 July 2019

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-018-0361-y

zbMATH Keywords

variational inequalitiesnonsmooth Lyapunov functionRiemannian manifoldsgap functionsglobal projected dynamical system

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Variational inequalities (global problems) in infinite-dimensional spaces (58E35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gap functions and global error bounds for generalized mixed variational inequalities on Hadamard manifolds
• Generalized gradients and characterization of epi-Lipschitz sets in Riemannian manifolds
• Existence of solutions for variational inequalities on Riemannian manifolds
• On the differential geometry of tangent bundles of Riemannian manifolds
• Commutators of flow maps of nonsmooth vector fields
• Global stabilization for systems evolving on manifolds
• Construction of the parallel transport in the Wasserstein space
• Convex functions on complete noncompact manifolds: Topological structure
• On the metric projection onto convex sets in riemannian spaces
• Non-smooth dynamical systems
• Kantorovich's theorem on Newton's method in Riemannian manifolds
• Nonsmooth analysis and Hamilton--Jacobi equations on Riemannian manifolds
• Variational inequalities on Hadamard manifolds
• Gap functions and Lyapunov functions
• Nonsmooth analysis on smooth manifolds
• On the metric projection onto prox-regular subsets of Riemannian manifolds
• Differential inclusions and monotoncicity conditions for nonsmooth Lyapunov functions