A primal dual proximal point method of Chambolle-Pock algorithms for ℓ1-TV minimization problems in image reconstruction

2012 ◽  
Author(s):  
Yuchao Tang ◽  
Jigen Peng ◽  
Shigang Yue ◽  
Jiawei Xu
Keyword(s):  
Image Reconstruction ◽  
Point Method ◽  
Proximal Point Method ◽  
Proximal Point ◽  
Minimization Problems ◽  
Primal Dual

scholarly journals Convergence of a Proximal Point Algorithm for Solving Minimization Problems

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Abdelouahed Hamdi ◽  
M. A. Noor ◽  
A. A. Mukheimer
Keyword(s):  
Convergence Rate ◽  
Proximal Point Algorithm ◽  
Iterative Scheme ◽  
Point Method ◽  
Proximal Point Method ◽  
Proximal Point ◽  
Minimization Problems ◽  
Estimate Rate ◽  
Proximal Term ◽  
Better Than

We introduce and consider a proximal point algorithm for solving minimization problems using the technique of Güler. This proximal point algorithm is obtained by substituting the usual quadratic proximal term by a class of convex nonquadratic distance-like functions. It can be seen as an extragradient iterative scheme. We prove the convergence rate of this new proximal point method under mild assumptions. Furthermore, it is shown that this estimate rate is better than the available ones.

On a Bregman regularized proximal point method for solving equilibrium problems

2019 ◽  
Vol 13 (5) ◽  
pp. 1143-1155
Author(s):  
J. X. Cruz Neto ◽  
P. S. M. Santos ◽  
R. C. M. Silva ◽  
J. C. O. Souza
Keyword(s):  
Equilibrium Problems ◽  
Point Method ◽  
Proximal Point Method ◽  
Proximal Point

A New Approach to the Proximal Point Method: Convergence on General Riemannian Manifolds

2016 ◽  
Vol 168 (3) ◽  
pp. 743-755 ◽  
Author(s):  
Glaydston de Carvalho Bento ◽  
João Xavier da Cruz Neto ◽  
Paulo Roberto Oliveira
Keyword(s):  
Riemannian Manifolds ◽  
Point Method ◽  
Proximal Point Method ◽  
Proximal Point ◽  
New Approach

scholarly journals Convergence of the Proximal Point Method for Metrically Regular Mappings

2007 ◽  
Vol 17 ◽  
pp. 1-8 ◽  
Author(s):  
F. J. Aragón Artacho ◽  
A. L. Dontchev ◽  
M. H. Geoffroy
Keyword(s):  
Point Method ◽  
Proximal Point Method ◽  
Proximal Point
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