Error bounds for proximal point subproblems and associated inexact proximal point algorithms

M.V. Solodov; B.F. Svaiter

doi:10.1007/s101070050022

Error bounds for proximal point subproblems and associated inexact proximal point algorithms

Mathematical Programming ◽

10.1007/s101070050022 ◽

2000 ◽

Vol 88 (2) ◽

pp. 371-389 ◽

Cited By ~ 63

Author(s):

M.V. Solodov ◽

B.F. Svaiter

Keyword(s):

Error Bounds ◽

Proximal Point ◽

Proximal Point Algorithms ◽

Inexact Proximal ◽

Inexact Proximal Point Algorithms

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Finite Termination of Inexact Proximal Point Algorithms in Hilbert Spaces

Journal of Optimization Theory and Applications ◽

10.1007/s10957-014-0689-1 ◽

2014 ◽

Vol 166 (1) ◽

pp. 188-212 ◽

Cited By ~ 2

Author(s):

J. H. Wang ◽

C. Li ◽

J.-C. Yao

Keyword(s):

Hilbert Spaces ◽

Finite Termination ◽

Proximal Point ◽

Proximal Point Algorithms ◽

Inexact Proximal ◽

Inexact Proximal Point Algorithms

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Asymptotic Convergence Analysis of Some Inexact Proximal Point Algorithms for Minimization

SIAM Journal on Optimization ◽

10.1137/s1052623494255923 ◽

1996 ◽

Vol 6 (3) ◽

pp. 626-637 ◽

Cited By ~ 3

Author(s):

Ciyou Zhu

Keyword(s):

Convergence Analysis ◽

Asymptotic Convergence ◽

Proximal Point ◽

Proximal Point Algorithms ◽

Inexact Proximal ◽

Inexact Proximal Point Algorithms

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Convergence analysis of inexact proximal point algorithms on Hadamard manifolds

Journal of Global Optimization ◽

10.1007/s10898-014-0182-2 ◽

2014 ◽

Vol 61 (3) ◽

pp. 553-573 ◽

Cited By ~ 15

Author(s):

Jinhua Wang ◽

Chong Li ◽

Genaro Lopez ◽

Jen-Chih Yao

Keyword(s):

Convergence Analysis ◽

Hadamard Manifolds ◽

Proximal Point ◽

Proximal Point Algorithms ◽

Inexact Proximal ◽

Inexact Proximal Point Algorithms

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A Comparison of Rates of Convergence of Two Inexact Proximal Point Algorithms

Applied Optimization - Nonlinear Optimization and Related Topics ◽

10.1007/978-1-4757-3226-9_22 ◽

2000 ◽

pp. 415-427 ◽

Cited By ~ 3

Author(s):

Michael V. Solodov ◽

Benar F. Svaiter

Keyword(s):

Rates Of Convergence ◽

Proximal Point ◽

Proximal Point Algorithms ◽

Inexact Proximal ◽

Inexact Proximal Point Algorithms

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A UNIFIED FRAMEWORK FOR SOME INEXACT PROXIMAL POINT ALGORITHMS*

Numerical Functional Analysis and Optimization ◽

10.1081/nfa-100108320 ◽

2001 ◽

Vol 22 (7-8) ◽

pp. 1013-1035 ◽

Cited By ~ 91

Author(s):

M. V. Solodov ◽

B. F. Svaiter

Keyword(s):

Unified Framework ◽

Proximal Point ◽

Proximal Point Algorithms ◽

Inexact Proximal ◽

Inexact Proximal Point Algorithms

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Hybrid inexact proximal point algorithms based on RMM frameworks with applications to variational inclusion problems

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-011-0529-5 ◽

2011 ◽

Vol 39 (1-2) ◽

pp. 345-365 ◽

Cited By ~ 4

Author(s):

Ram U. Verma

Keyword(s):

Variational Inclusion ◽

Proximal Point ◽

Inclusion Problems ◽

Proximal Point Algorithms ◽

Inexact Proximal ◽

Inexact Proximal Point Algorithms

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Inexact Proximal Point Algorithms and Descent Methods in Optimization

Optimization and Engineering ◽

10.1007/s11081-005-6798-9 ◽

2005 ◽

Vol 6 (2) ◽

pp. 257-271 ◽

Cited By ~ 10

Author(s):

Carlos Humes ◽

Paulo J. S. Silva

Keyword(s):

Descent Methods ◽

Proximal Point ◽

Proximal Point Algorithms ◽

Inexact Proximal ◽

Inexact Proximal Point Algorithms

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Modified Proximal point algorithms for finding a zero point of maximal monotone operators, generalized mixed equilibrium problems and variational inequalities

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2012-118 ◽

2012 ◽

Vol 2012 (1) ◽

Cited By ~ 1

Author(s):

Kriengsak Wattanawitoon ◽

Poom Kumam

Keyword(s):

Variational Inequalities ◽

Equilibrium Problems ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Zero Point ◽

Monotone Operators ◽

Proximal Point ◽

Proximal Point Algorithms ◽

Mixed Equilibrium Problems ◽

Generalized Mixed Equilibrium

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Steepest-descent proximal point algorithms for a class of variational inequalities in Banach spaces

Mathematische Nachrichten ◽

10.1002/mana.201600240 ◽

2018 ◽

Vol 291 (8-9) ◽

pp. 1191-1207 ◽

Cited By ~ 1

Author(s):

Nguyen Buong

Keyword(s):

Variational Inequalities ◽

Banach Spaces ◽

Steepest Descent ◽

Proximal Point ◽

Proximal Point Algorithms

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Inexact Proximal Point Methods for Multiobjective Quasiconvex Minimization on Hadamard Manifolds

Journal of Optimization Theory and Applications ◽

10.1007/s10957-020-01725-7 ◽

2020 ◽

Vol 186 (3) ◽

pp. 879-898

Author(s):

Erik Alex Papa Quiroz ◽

Nancy Baygorrea Cusihuallpa ◽

Nelson Maculan

Keyword(s):

Hadamard Manifolds ◽

Proximal Point ◽

Proximal Point Methods ◽

Inexact Proximal

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