Generalized proximal point algorithm for convex optimization

Journal of Optimization Theory and Applications ◽

10.1007/bf02192181 ◽

1996 ◽

Vol 88 (2) ◽

pp. 475-488 ◽

Author(s):

D. Medhi ◽

C. D. Ha

Keyword(s):

Convex Optimization ◽

Proximal Point Algorithm ◽

Proximal Point ◽

Generalized Proximal Point Algorithm

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Convergence of a Hybrid Projection-Proximal Point Algorithm Coupled with Approximation Methods in Convex Optimization

Mathematics of Operations Research ◽

10.1287/moor.1050.0156 ◽

2005 ◽

Vol 30 (4) ◽

pp. 966-984 ◽

Author(s):

Felipe Alvarez ◽

Miguel Carrasco ◽

Karine Pichard

Keyword(s):

Convex Optimization ◽

Proximal Point Algorithm ◽

Approximation Methods ◽

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On the convergence rate of customized proximal point algorithm for convex optimization and saddle-point problem

Scientia Sinica Mathematica ◽

10.1360/012011-1049 ◽

2012 ◽

Vol 42 (5) ◽

pp. 515-525 ◽

Author(s):

BingSheng HE ◽

Yuan SHEN

Keyword(s):

Convex Optimization ◽

Convergence Rate ◽

Saddle Point ◽

Proximal Point Algorithm ◽

Saddle Point Problem ◽

Point Problem ◽

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The perturbed generalized proximal point algorithm

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1998320202231 ◽

1998 ◽

Vol 32 (2) ◽

pp. 223-253 ◽

Author(s):

P. Alexandre ◽

V. H. Nguyen ◽

P. Tossings

Keyword(s):

Proximal Point Algorithm ◽

Proximal Point ◽

Generalized Proximal Point Algorithm

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A Generalized Proximal Point Algorithm and Implicit Iterative Schemes for a Sequence of Operators on Banach Spaces

Set-Valued Analysis ◽

10.1007/s11228-007-0064-6 ◽

2007 ◽

Vol 16 (5-6) ◽

pp. 597-619 ◽

Author(s):

Yasunori Kimura ◽

Wataru Takahashi

Keyword(s):

Banach Spaces ◽

Proximal Point Algorithm ◽

Proximal Point ◽

Iterative Schemes ◽

Generalized Proximal Point Algorithm

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On the Optimal Linear Convergence Rate of a Generalized Proximal Point Algorithm

Journal of Scientific Computing ◽

10.1007/s10915-017-0477-9 ◽

2017 ◽

Vol 74 (2) ◽

pp. 826-850 ◽

Author(s):

Min Tao ◽

Xiaoming Yuan

Keyword(s):

Convergence Rate ◽

Proximal Point Algorithm ◽

Linear Convergence ◽

Proximal Point ◽

Linear Convergence Rate ◽

Optimal Linear ◽

Generalized Proximal Point Algorithm

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A Generalized Proximal Point Algorithm and Its Convergence Rate

SIAM Journal on Optimization ◽

10.1137/130940402 ◽

2014 ◽

Vol 24 (4) ◽

pp. 1614-1638 ◽

Author(s):

Etienne Corman ◽

Xiaoming Yuan

Keyword(s):

Convergence Rate ◽

Proximal Point Algorithm ◽

Proximal Point ◽

Generalized Proximal Point Algorithm

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An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions

Mathematics of Operations Research ◽

10.1287/moor.25.2.214.12222 ◽

2000 ◽

Vol 25 (2) ◽

pp. 214-230 ◽

Author(s):

M. V. Solodov ◽

B. F. Svaiter

Keyword(s):

Proximal Point Algorithm ◽

Proximal Point ◽

Bregman Functions ◽

Generalized Proximal Point Algorithm

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On the generalized proximal point algorithm with applications to inclusion problems

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2009.5.381 ◽

2009 ◽

Vol 5 (2) ◽

pp. 381-390 ◽

Author(s):

Ram U. Verma ◽

Keyword(s):

Proximal Point Algorithm ◽

Proximal Point ◽

Inclusion Problems ◽

Generalized Proximal Point Algorithm

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SEMIDEFINITE PROGRAMMING VIA GENERALIZED PROXIMAL POINT ALGORITHM

10.17771/pucrio.acad.40183 ◽

2018 ◽

Author(s):

MARIO HENRIQUE ALVES SOUTO NETO

Keyword(s):

Semidefinite Programming ◽

Proximal Point Algorithm ◽

Proximal Point ◽

Generalized Proximal Point Algorithm

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The generalized proximal point algorithm with step size 2 is not necessarily convergent

Computational Optimization and Applications ◽

10.1007/s10589-018-9992-3 ◽

2018 ◽

Vol 70 (3) ◽

pp. 827-839 ◽

Author(s):

Min Tao ◽

Xiaoming Yuan

Keyword(s):

Proximal Point Algorithm ◽

Step Size ◽

Proximal Point ◽

Generalized Proximal Point Algorithm

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