Inexact proximal point methods for quasiconvex minimization on Hadamard manifolds
From MaRDI portal
Publication:2361580
DOI10.1007/s40305-016-0133-3zbMath1365.90211OpenAlexW2539212969MaRDI QIDQ2361580
Nancy Baygorrea, Nelson F. Maculan, Erik Alex Papa Quiroz
Publication date: 30 June 2017
Published in: Journal of the Operations Research Society of China (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40305-016-0133-3
nonsmooth optimizationquasiconvex functionproximal point methodHadamard manifoldsabstract subdifferential
Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26) Programming in abstract spaces (90C48) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20)
Related Items
Proximal point methods for Lipschitz functions on Hadamard manifolds: scalar and vectorial cases, An inexact scalarization proximal point method for multiobjective quasiconvex minimization, On the convergence rate of an inexact proximal point algorithm for quasiconvex minimization on Hadamard manifolds, Proximal algorithm with quasidistances for multiobjective quasiconvex minimization in Riemannian manifolds, Inexact proximal point methods for multiobjective quasiconvex minimization on Hadamard manifolds, Unnamed Item, Relaxed \(\mu\)-quasimonotone variational inequalities in Hadamard manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An inexact proximal method for quasiconvex minimization
- Proximal point method for minimizing quasiconvex locally Lipschitz functions on Hadamard manifolds
- On the convergence of inexact proximal point algorithm on Hadamard manifolds
- Local search proximal algorithms as decision dynamics with costs to move
- On the convergence of the proximal algorithm for nonsmooth functions involving analytic features
- Local convergence of the proximal point method for a special class of nonconvex functions on Hadamard manifolds
- Manifolds of nonpositive curvature
- Subdifferential properties of quasiconvex and pseudoconvex functions: Unified approach
- On gradients of functions definable in o-minimal structures
- Smooth nonlinear optimization of \(\mathbb R^n\)
- Rate of convergence for proximal point algorithms on Hadamard manifolds
- Integration of subdifferentials of lower semicontinuous functions on Banach spaces
- Contributions to the study of monotone vector fields
- The proximal point algorithm for pseudomonotone variational inequalities on Hadamard manifolds
- Nash-type equilibria on Riemannian manifolds: a variational approach
- An inexact proximal point algorithm for maximal monotone vector fields on Hadamard manifolds
- Full convergence of the proximal point method for quasiconvex functions on Hadamard manifolds
- Variational Inequalities for Set-Valued Vector Fields on Riemannian Manifolds: Convexity of the Solution Set and the Proximal Point Algorithm
- Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
- Approximate Subdifferentials and Applications. I: The Finite Dimensional Theory
- Monotone vector fields and the proximal point algorithm on Hadamard manifolds
- Generalized Directional Derivatives and Subgradients of Nonconvex Functions
- Generalized Gradients and Applications
- Monotone Operators and the Proximal Point Algorithm
- Sub differential Monotonicity as Characterization of Convex Functions
- Proximal Point Algorithm On Riemannian Manifolds
- Mean Value Property and Subdifferential Criteria for Lower Semicontinuous Functions
- Proximal point method for a special class of nonconvex functions on Hadamard manifolds
- Finite termination of the proximal point method for convex functions on Hadamard manifolds
- Generalized Nash equilibrium problems
