Understanding Nesterov's Acceleration via Proximal Point Method

Mapping Intimacies ◽

10.1137/1.9781611977066.9 ◽

2022 ◽

pp. 117-130

Author(s):

Kwangjun Ahn ◽

Suvrit Sra

Keyword(s):

Point Method ◽

Proximal Point Method ◽

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Finite termination of the proximal point method for convex functions on Hadamard manifolds

Optimization ◽

10.1080/02331934.2012.730050 ◽

2012 ◽

Vol 63 (9) ◽

pp. 1281-1288 ◽

Author(s):

G.C. Bento ◽

J.X. Cruz Neto

Keyword(s):

Convex Functions ◽

Point Method ◽

Proximal Point Method ◽

Hadamard Manifolds ◽

Finite Termination ◽

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Proximal point method for a special class of nonconvex multiobjective optimization functions

Optimization Letters ◽

10.1007/s11590-017-1114-0 ◽

2017 ◽

Vol 12 (2) ◽

pp. 311-320 ◽

Author(s):

G. C. Bento ◽

O. P. Ferreira ◽

V. L. Sousa Junior

Keyword(s):

Multiobjective Optimization ◽

Special Class ◽

Point Method ◽

Proximal Point Method ◽

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On a Bregman regularized proximal point method for solving equilibrium problems

Optimization Letters ◽

10.1007/s11590-019-01411-2 ◽

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 ◽

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Local convergence of the proximal point method for a special class of nonconvex functions on Hadamard manifolds

Nonlinear Analysis ◽

10.1016/j.na.2010.03.057 ◽

2010 ◽

Vol 73 (2) ◽

pp. 564-572 ◽

Author(s):

G.C. Bento ◽

O.P. Ferreira ◽

P.R. Oliveira

Keyword(s):

Local Convergence ◽

Special Class ◽

Point Method ◽

Proximal Point Method ◽

Hadamard Manifolds ◽

Proximal Point ◽

Nonconvex Functions

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Convergence of a Proximal Point Method in the Presence of Computational Errors in Hilbert Spaces

SIAM Journal on Optimization ◽

10.1137/090766930 ◽

2010 ◽

Vol 20 (5) ◽

pp. 2413-2421 ◽

Author(s):

Alexander J. Zaslavski

Keyword(s):

Hilbert Spaces ◽

Point Method ◽

Proximal Point Method ◽

Proximal Point ◽

Computational Errors

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

Journal of Optimization Theory and Applications ◽

10.1007/s10957-015-0861-2 ◽

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 ◽

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Convergence of the Proximal Point Method for Metrically Regular Mappings

ESAIM Proceedings ◽

10.1051/proc:071701 ◽

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 ◽

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Enlargement of Monotone Vector Fields and an Inexact Proximal Point Method for Variational Inequalities in Hadamard Manifolds

Journal of Optimization Theory and Applications ◽

10.1007/s10957-016-0982-2 ◽

2016 ◽

Vol 170 (3) ◽

pp. 916-931 ◽

Author(s):

Edvaldo E. A. Batista ◽

Glaydston de Carvalho Bento ◽

Orizon P. Ferreira

Keyword(s):

Variational Inequalities ◽

Vector Fields ◽

Point Method ◽

Proximal Point Method ◽

Hadamard Manifolds ◽

Proximal Point ◽

Monotone Vector Fields ◽

Inexact Proximal

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A Generalized Inexact Proximal Point Method for Nonsmooth Functions that Satisfies Kurdyka Lojasiewicz Inequality

Set-Valued and Variational Analysis ◽

10.1007/s11228-015-0319-6 ◽

2015 ◽

Vol 23 (3) ◽

pp. 501-517 ◽

Author(s):

G. C. Bento ◽

A. Soubeyran

Keyword(s):

Point Method ◽

Proximal Point Method ◽

Proximal Point ◽

Nonsmooth Functions ◽

Łojasiewicz Inequality ◽

Lojasiewicz Inequality ◽

Inexact Proximal

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The Proximal Point Method for Nonmonotone Variational Inequalities

Mathematical Methods of Operations Research ◽

10.1007/s00186-005-0052-2 ◽

2006 ◽

Vol 63 (3) ◽

pp. 553-565 ◽

Author(s):

E. Allevi ◽

A. Gnudi ◽

I. V. Konnov

Keyword(s):

Variational Inequalities ◽

Point Method ◽

Proximal Point Method ◽

Proximal Point ◽

Nonmonotone Variational Inequalities

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