The proximal point algorithm for pseudomonotone variational inequalities on Hadamard manifolds
type: Item
instance of: scholarly article
title: The proximal point algorithm for pseudomonotone variational inequalities on Hadamard manifolds
zbMATH Open document ID: 1328.49006
author: Guo-Ji Tang
author: Li-Wen Zhou
author: Nan-Jing Huang
published in: Optimization Letters
publication date: 2013-04-23T00:00:00Z
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 6156595
zbMATH Keywords: pseudomonotone vector field
zbMATH Keywords: variational inequality
zbMATH Keywords: proximal point algorithm
zbMATH Keywords: Hadamard manifold
MaRDI profile type: Publication
full work available at URL: s11590-012-0459-7
OpenAlex ID: W1971187060
cites work: Invex sets and preinvex functions on Riemannian manifolds
cites work: Invariant monotone vector fields on Riemannian manifolds
cites work: Local convergence of the proximal point method for a special class of nonconvex functions on Hadamard manifolds
cites work: Q4504987
cites work: Contributions to the study of monotone vector fields
cites work: Convex- and monotone-transformable mathematical programming problems and a proximal-like point method
cites work: Coercivity conditions and variational inequalities
cites work: Finite-Dimensional Variational Inequalities and Complementarity Problems
cites work: Pseudomonotone variational inequalities: Convergence of proximal methods
cites work: Subgradient algorithm on Riemannian manifolds
cites work: Proximal Point Algorithm On Riemannian Manifolds
cites work: Singularities of monotone vector fields and an extragradient-type algorithm
cites work: Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
cites work: Weak sharp solutions for variational inequalities in Banach spaces
cites work: Scalar and asymptotic scalar derivatives. Theory and applications
cites work: Proximal point methods and nonconvex optimization
cites work: Monotone vector fields and the proximal point algorithm on Hadamard manifolds
cites work: Iterative algorithms for nonexpansive mappings on Hadamard manifolds
cites work: Resolvents of set-valued monotone vector fields in Hadamard manifolds
cites work: Existence of solutions for variational inequalities on Riemannian manifolds
cites work: Q3836583
cites work: Geodesic monotone vector fields
cites work: Monotonicity of the complementary vector field of a nonexpansive map
cites work: Monotone vector fields
cites work: Variational inequalities on Hadamard manifolds
cites work: Steepest descent method with a generalized Armijo search for quasiconvex functions on Riemannian manifolds
cites work: Q5325670
cites work: Monotone Operators and the Proximal Point Algorithm
cites work: Q4888132
cites work: A proximal method for pseudomonotone type variational-like inequalities
cites work: Error bounds for proximal point subproblems and associated inexact proximal point algorithms
cites work: Monotone and accretive vector fields on Riemannian manifolds
cites work: The generalized \(f\)-projection operator and set-valued variational inequalities in Banach spaces
cites work: Equivalent Unconstrained Minimization and Global Error Bounds for Variational Inequality Problems
DOI: 10.1007/S11590-012-0459-7
description: scientific article; zbMATH DE number 6156595