Full convergence of the proximal point method for quasiconvex functions on Hadamard manifolds
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Publication:2911444
DOI10.1051/cocv/2011102zbMath1273.90162OpenAlexW2133301611MaRDI QIDQ2911444
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Publication date: 31 August 2012
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/221939
Related Items (17)
Inexact proximal point methods for quasiconvex minimization on Hadamard manifolds ⋮ Enlargement of monotone vector fields and an inexact proximal point method for variational inequalities in Hadamard manifolds ⋮ Proximal point method for vector optimization on Hadamard manifolds ⋮ Optimality conditions and duality for nonsmooth multiobjective semi-infinite programming problems on Hadamard manifolds ⋮ On the convergence rate of an inexact proximal point algorithm for quasiconvex minimization on Hadamard manifolds ⋮ Coercivity and generalized proximal algorithms: application -- traveling around the world ⋮ Proximal algorithm with quasidistances for multiobjective quasiconvex minimization in Riemannian manifolds ⋮ Strongly geodesic preinvexity and strongly invariant η-monotonicity on Riemannian manifolds and its application ⋮ Inexact proximal point algorithm for quasiconvex optimization problems on Hadamard manifolds ⋮ Constraint qualifications and optimality criteria for nonsmooth multiobjective programming problems on Hadamard manifolds ⋮ On the convergence rate of a proximal point algorithm for vector function on Hadamard manifolds ⋮ Inexact proximal point methods for multiobjective quasiconvex minimization on Hadamard manifolds ⋮ A scalarization proximal point method for quasiconvex multiobjective minimization ⋮ Proximal point method for minimizing quasiconvex locally Lipschitz functions on Hadamard manifolds ⋮ Unnamed Item ⋮ Proximal methods with Bregman distances to solve VIP on Hadamard manifolds with null sectional curvature ⋮ Relaxed \(\mu\)-quasimonotone variational inequalities in Hadamard manifolds
Cites Work
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- Calculus of variations in \(L^ \infty\)
- Regularized Lotka-Volterra dynamical system as continuous proximal-like method in optimization.
- Entropy-like proximal algorithms based on a second-order homogeneous distance function for quasi-convex programming
- On the convergence of the proximal algorithm for nonsmooth functions involving analytic features
- A proximal method with separable Bregman distances for quasiconvex minimization over the nonnegative orthant
- Proximal point methods and nonconvex optimization
- Quasiconvex optimization and location theory
- On the Riemannian geometry defined by self-concordant barriers and interior-point methods.
- New self-concordant barrier for the hypercube
- Convex- and monotone-transformable mathematical programming problems and a proximal-like point method
- Lectures on Modern Convex Optimization
- A proximal point algorithm with a ϕ-divergence for quasiconvex programming
- Monotone Operators and the Proximal Point Algorithm
- Proximal Point Algorithm On Riemannian Manifolds
- Hessian Riemannian Gradient Flows in Convex Programming
- Convergence of the Iterates of Descent Methods for Analytic Cost Functions
- Domains of positivity
- Convergence and efficiency of subgradient methods for quasiconvex minimization
- Convergence of a block coordinate descent method for nondifferentiable minimization
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