Proximal Point Algorithms on Hadamard Manifolds: Linear Convergence and Finite Termination

SIAM Journal on Optimization ◽

10.1137/15m1051257 ◽

2016 ◽

Vol 26 (4) ◽

pp. 2696-2729 ◽

Author(s):

Jinhua Wang ◽

Chong Li ◽

Genaro Lopez ◽

Jen-Chih Yao

Keyword(s):

Linear Convergence ◽

Hadamard Manifolds ◽

Finite Termination ◽

Proximal Point ◽

Proximal Point Algorithms

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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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Rate of convergence for proximal point algorithms on Hadamard manifolds

Operations Research Letters ◽

10.1016/j.orl.2014.06.009 ◽

2014 ◽

Vol 42 (6-7) ◽

pp. 383-387 ◽

Author(s):

Guo-ji Tang ◽

Nan-jing Huang

Keyword(s):

Rate Of Convergence ◽

Hadamard Manifolds ◽

Proximal Point ◽

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 ◽

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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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 ◽

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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Super-Relaxed ()-Proximal Point Algorithms, Relaxed ()-Proximal Point Algorithms, Linear Convergence Analysis, and Nonlinear Variational Inclusions

Fixed Point Theory and Applications ◽

10.1155/2009/957407 ◽

2009 ◽

Vol 2009 (1) ◽

pp. 957407

Author(s):

RaviP Agarwal ◽

RamU Verma

Keyword(s):

Convergence Analysis ◽

Linear Convergence ◽

Variational Inclusions ◽

Proximal Point ◽

Proximal Point Algorithms

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Regularization of proximal point algorithms in Hadamard manifolds

Journal of Fixed Point Theory and Applications ◽

10.1007/s11784-019-0658-2 ◽

2019 ◽

Vol 21 (1) ◽

Author(s):

Qamrul Hasan Ansari ◽

Feeroz Babu ◽

Jen-Chih Yao

Keyword(s):

Hadamard Manifolds ◽

Proximal Point ◽

Proximal Point Algorithms

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Linear Convergence Analysis for General Proximal Point Algorithms Involving (H,η)- Mo notonicity Frameworks

Cubo (Temuco) ◽

10.4067/s0719-06462011000300010 ◽

2011 ◽

Vol 13 (3) ◽

pp. 185-196

Author(s):

Ram U Verma

Keyword(s):

Convergence Analysis ◽

Linear Convergence ◽

Proximal Point ◽

Proximal Point Algorithms

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Modified proximal point algorithms on Hadamard manifolds

Optimization ◽

10.1080/02331934.2010.505962 ◽

2011 ◽

Vol 60 (6) ◽

pp. 697-708 ◽

Author(s):

Jin-Hua Wang ◽

Genaro López

Keyword(s):

Hadamard Manifolds ◽

Proximal Point ◽

Proximal Point Algorithms

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Inertial proximal point algorithm for variational inclusion in Hadamard manifolds

Applicable Analysis ◽

10.1080/00036811.2021.2016719 ◽

2021 ◽

pp. 1-12

Author(s):

Shih-Sen Chang ◽

Jen-Chih Yao ◽

M. Liu ◽

L. C. Zhao

Keyword(s):

Proximal Point Algorithm ◽

Variational Inclusion ◽

Hadamard Manifolds ◽

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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) ◽

Author(s):

Kriengsak Wattanawitoon ◽

Poom Kumam

Keyword(s):

Variational Inequalities ◽

Equilibrium Problems ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Proximal Point ◽

Proximal Point Algorithms ◽

Mixed Equilibrium Problems ◽

Generalized Mixed Equilibrium

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