Proximal-Point Algorithm Using a Linear Proximal Term

2009 ◽  
Vol 141 (2) ◽  
pp. 299-319 ◽  
Author(s):  
B. S. He ◽  
X. L. Fu ◽  
Z. K. Jiang
Keyword(s):  
Proximal Point Algorithm ◽  
Proximal Point ◽  
Proximal Term

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.

STRONG AND Δ - CONVERGENCE THEOREMS USING MODIFIED PROXIMAL POINT ALGORITHM IN CAT(0) SPACES

2018 ◽  
Vol 7 (2) ◽  
pp. 8
Author(s):  
KUMAR DAS APURVA ◽  
DHAR DIWAN SHAILESH ◽  
DASHPUTRE SAMIR ◽  
◽  
◽  
...  
Keyword(s):  
Proximal Point Algorithm ◽  
Proximal Point ◽  
Convergence Theorems

A two-phase-like proximal point algorithm in domains of positivity

2019 ◽  
Vol 343 ◽  
pp. 67-89
Author(s):  
R.M. Gregório ◽  
P.R. Oliveira ◽  
C.D.S. Alves
Keyword(s):  
Proximal Point Algorithm ◽  
Proximal Point ◽  
Two Phase
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