Nonsmooth optimization techniques on Riemannian manifolds

DOI10.1007/s10957-012-0250-zzbMath1273.90110OpenAlexW2076447171WikidataQ115382575 ScholiaQ115382575MaRDI QIDQ368717

Seyedehsomayeh Hosseini, Mohamad R. Pouryayevali

Publication date: 23 September 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-012-0250-z

zbMATH Keywords

Riemannian manifoldsEkeland variational principlemetric regularitygeneralized gradientcontingent cone

Mathematics Subject Classification ID

Continuous location (90B85) Nonlinear programming (90C30)

Related Items

Generalized submonotonicity and approximately convexity in Riemannian manifolds, The KKT optimality conditions for optimization problem with interval-valued objective function on Hadamard manifolds, Newton method for finding a singularity of a special class of locally Lipschitz continuous vector fields on Riemannian manifolds, Proximal point method for vector optimization on Hadamard manifolds, Metrically regular vector field and iterative processes for generalized equations in Hadamard manifolds, Optimality and duality on Riemannian manifolds, Unnamed Item, A global Newton method for the nonsmooth vector fields on Riemannian manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• On the metric projection onto \(\varphi\)-convex subsets of Hadamard manifolds
• Generalized gradients and characterization of epi-Lipschitz sets in Riemannian manifolds
• Monotone and accretive vector fields on Riemannian manifolds
• Existence of solutions for variational inequalities on Riemannian manifolds
• Proximal subgradient and a characterization of Lipschitz function on Riemannian manifolds
• Some properties of general minimization problems with constraints
• Local convergence of the proximal point method for a special class of nonconvex functions on Hadamard manifolds
• On regularity for constrained extremum problems. I: Sufficient optimality conditions
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• A non-smooth two points boundary value problem on Riemannian manifolds
• Convex analysis and nonlinear optimization. Theory and examples
• Nonsmooth analysis and Hamilton--Jacobi equations on Riemannian manifolds
• Dini derivative and a characterization for Lipschitz and convex functions on Riemannian manifolds
• Proximal calculus on Riemannian manifolds
• Weak Sharp Minima on Riemannian Manifolds
• Nonsmooth analysis on smooth manifolds
• Monotone vector fields and the proximal point algorithm on Hadamard manifolds
• Variational Analysis
• Metric regularity and subdifferential calculus
• Proximal Point Algorithm On Riemannian Manifolds