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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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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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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A generalized proximal point algorithm for certain non-convex minimization problems

International Journal of Systems Science ◽

10.1080/00207728108963798 ◽

1981 ◽

Vol 12 (8) ◽

pp. 989-1000 ◽

Author(s):

MASAO FUKUSHIMA ◽

HISASHI MINE

Keyword(s):

Proximal Point Algorithm ◽

Convex Minimization ◽

Proximal Point ◽

Minimization Problems ◽

Convex Minimization Problems ◽

Generalized Proximal Point Algorithm

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A Generalized Proximal Point Algorithm for the Variational Inequality Problem in a Hilbert Space

SIAM Journal on Optimization ◽

10.1137/s1052623495286302 ◽

1998 ◽

Vol 8 (1) ◽

pp. 197-216 ◽

Author(s):

Regina S. Burachik ◽

Alfredo N. Iusem

Keyword(s):

Hilbert Space ◽

Variational Inequality ◽

Proximal Point Algorithm ◽

Variational Inequality Problem ◽

Proximal Point ◽

Inequality Problem ◽

Generalized Proximal Point Algorithm

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