An extragradient-type algorithm for variational inequality on Hadamard manifolds
From MaRDI portal
Publication:5126406
DOI10.1051/cocv/2019040zbMath1451.90159arXiv1804.09292OpenAlexW2963855586MaRDI QIDQ5126406
Edvaldo E. A. Batista, Orizon P. Ferreira, Glaydston C. Bento
Publication date: 16 October 2020
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.09292
Numerical mathematical programming methods (65K05) Iterative procedures involving nonlinear operators (47J25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Related Items
Dynamical systems for solving variational inclusion and fixed point problems on Hadamard manifolds, Fenchel conjugate via Busemann function on Hadamard manifolds, Characterizations of weak sharp solutions for variational inequalities on Hadamard manifolds and applications, A projection algorithm for pseudomonotone vector fields with convex constraints on Hadamard manifolds, Iterative Method with Inertia for Variational Inequalities on Hadamard Manifolds with Lower Bounded Curvature, Strong convergence of Bregman projection method for solving variational inequality problems in reflexive Banach spaces, Iteration-complexity and asymptotic analysis of steepest descent method for multiobjective optimization on Riemannian manifolds, Combinatorial convexity in Hadamard manifolds: existence for equilibrium problems, A generalized geometric spectral conjugate gradient algorithm for finding zero of a monotone tangent vector field on a constant curvature Hadamard manifold
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(\varepsilon\)-subgradient algorithms for locally Lipschitz functions on Riemannian manifolds
- Vector variational inequalities and vector optimization problems on Hadamard manifolds
- A new approach to the proximal point method: convergence on general Riemannian manifolds
- A second-order TV-type approach for inpainting and denoising higher dimensional combined cyclic and vector space data
- An extragradient method for equilibrium problems on Hadamard manifolds
- On some basic results related to affine functions on Riemannian manifolds
- Enlargement of monotone vector fields and an inexact proximal point method for variational inequalities in Hadamard manifolds
- On the convergence of inexact proximal point algorithm on Hadamard manifolds
- Singularities of monotone vector fields and an extragradient-type algorithm
- Resolvents of set-valued monotone vector fields in Hadamard manifolds
- Existence of solutions for variational inequalities on Riemannian manifolds
- Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements
- An existence result for the generalized vector equilibrium problem on Hadamard manifolds
- A proximal point algorithm for DC functions on Hadamard manifolds
- Enlargement of monotone operators with applications to variational inequalities
- Large sample theory of intrinsic and extrinsic sample means on manifolds. I
- Contributions to the study of monotone vector fields
- Variational inequalities on Hadamard manifolds
- Korpelevich's method for variational inequality problems on Hadamard manifolds
- The proximal point algorithm for pseudomonotone variational inequalities on Hadamard manifolds
- The proximal point algorithm in metric spaces
- Convergence analysis of inexact proximal point algorithms on Hadamard manifolds
- Existence and solution methods for equilibria
- Geodesic regression and the theory of least squares on Riemannian manifolds
- A projection algorithm for set-valued variational inequalities on Hadamard manifolds
- An inexact proximal point algorithm for maximal monotone vector fields on Hadamard manifolds
- Set-valued mappings and enlargement of monotone operators.
- Convex- and monotone-transformable mathematical programming problems and a proximal-like point method
- Large sample theory of intrinsic and extrinsic sample means on manifolds. II.
- An extragradient-type algorithm for non-smooth variational inequalities
- A Second Order Nonsmooth Variational Model for Restoring Manifold-Valued Images
- On the Complexity of the Hybrid Proximal Extragradient Method for the Iterates and the Ergodic Mean
- Variational Inequalities for Set-Valued Vector Fields on Riemannian Manifolds: Convexity of the Solution Set and the Proximal Point Algorithm
- Newton's method on Riemannian manifolds and a geometric model for the human spine
- Proximal minimization in CAT$(\kappa)$ spaces
- A Parallel Douglas–Rachford Algorithm for Minimizing ROF-like Functionals on Images with Values in Symmetric Hadamard Manifolds
- Minimax and maximin facility location problems on a sphere
- Linear Convergence of Subgradient Algorithm for Convex Feasibility on Riemannian Manifolds
- Statistics on Riemannian manifolds: asymptotic distribution and curvature
- Monotone vector fields and the proximal point algorithm on Hadamard manifolds
- Optimization Techniques on Riemannian Manifolds
- A Generalized Proximal Point Algorithm for the Variational Inequality Problem in a Hilbert Space
- Proximal Point Algorithm On Riemannian Manifolds
- Proximal point method for a special class of nonconvex functions on Hadamard manifolds
- A projection-type method for variational inequalities on Hadamard manifolds and verification of solution existence
- On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces
- Analysis Operator Learning and its Application to Image Reconstruction
- Proximal Point Algorithms on Hadamard Manifolds: Linear Convergence and Finite Termination
- Spherical minimax location problem
