scholarly journals Full convergence of the proximal point method for quasiconvex functions on Hadamard manifolds

2011 ◽  
Vol 18 (2) ◽  
pp. 483-500 ◽  
Author(s):  
Erik A. Papa Quiroz ◽  
P. Roberto Oliveira
Keyword(s):  
Point Method ◽  
Proximal Point Method ◽  
Quasiconvex Functions ◽  
Hadamard Manifolds ◽  
Proximal Point

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.

A modified proximal point method for DC functions on Hadamard manifolds

2020 ◽  
Vol 76 (3) ◽  
pp. 649-673 ◽  
Author(s):  
Yldenilson Torres Almeida ◽  
João Xavier da Cruz Neto ◽  
Paulo Roberto Oliveira ◽  
João Carlos de Oliveira Souza
Keyword(s):  
Point Method ◽  
Proximal Point Method ◽  
Hadamard Manifolds ◽  
Dc Functions ◽  
Proximal Point

scholarly journals Proximal point method for vector optimization on Hadamard manifolds

2018 ◽  
Vol 46 (1) ◽  
pp. 13-18 ◽  
Author(s):  
Glaydston de C. Bento ◽  
Orizon P. Ferreira ◽  
Yuri R.L. Pereira
Keyword(s):  
Vector Optimization ◽  
Point Method ◽  
Proximal Point Method ◽  
Hadamard Manifolds ◽  
Proximal Point
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