scholarly journals Enlargement of Monotone Vector Fields and an Inexact Proximal Point Method for Variational Inequalities in Hadamard Manifolds

2016 ◽  
Vol 170 (3) ◽  
pp. 916-931 ◽  
Author(s):  
Edvaldo E. A. Batista ◽  
Glaydston de Carvalho Bento ◽  
Orizon P. Ferreira
Keyword(s):  
Variational Inequalities ◽  
Vector Fields ◽  
Point Method ◽  
Proximal Point Method ◽  
Hadamard Manifolds ◽  
Proximal Point ◽  
Monotone Vector Fields ◽  
Inexact Proximal

scholarly journals Proximal Point Methods for Solving Mixed Variational Inequalities on the Hadamard Manifolds

2012 ◽  
Vol 2012 ◽  
pp. 1-8 ◽  
Author(s):  
Muhammad Aslam Noor ◽  
Khalida Inayat Noor
Keyword(s):  
Variational Inequalities ◽  
Point Method ◽  
Hadamard Manifold ◽  
Proximal Point Method ◽  
Hadamard Manifolds ◽  
Auxiliary Principle ◽  
Proximal Point ◽  
Auxiliary Principle Technique ◽  
Special Cases ◽  
Mixed Variational Inequalities

We use the auxiliary principle technique to suggest and analyze a proximal point method for solving the mixed variational inequalities on the Hadamard manifold. It is shown that the convergence of this proximal point method needs only pseudomonotonicity, which is a weaker condition than monotonicity. Some special cases are also considered. Results can be viewed as refinement and improvement of previously known results.

Monotone vector fields and the proximal point algorithm on Hadamard manifolds

2009 ◽  
Vol 79 (3) ◽  
pp. 663-683 ◽  
Author(s):  
Chong Li ◽  
Genaro López ◽  
Victoria Martín-Márquez
Keyword(s):  
Proximal Point Algorithm ◽  
Vector Fields ◽  
Hadamard Manifolds ◽  
Proximal Point ◽  
Monotone Vector Fields

scholarly journals Proximal point method for a special class of nonconvex functions on Hadamard manifolds

Optimization ◽  
2012 ◽  
Vol 64 (2) ◽  
pp. 289-319 ◽  
Author(s):  
G.C. Bento ◽  
O.P. Ferreira ◽  
P.R. Oliveira
Keyword(s):  
Special Class ◽  
Point Method ◽  
Proximal Point Method ◽  
Hadamard Manifolds ◽  
Proximal Point ◽  
Nonconvex Functions
Sign in / Sign up

Export Citation Format

Share Document