A distributed proximal-point algorithm for Nash equilibrium seeking in generalized potential games with linearly coupled cost functions

2019 18th European Control Conference (ECC) ◽

10.23919/ecc.2019.8795852 ◽

2019 ◽

Author(s):

Giuseppe Belgioioso ◽

Sergio Grammatico

Keyword(s):

Nash Equilibrium ◽

Proximal Point Algorithm ◽

Potential Games ◽

Cost Functions ◽

Proximal Point ◽

Generalized Potential

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A fully-distributed proximal-point algorithm for Nash equilibrium seeking with linear convergence rate

2020 59th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc42340.2020.9304145 ◽

2020 ◽

Author(s):

Mattia Bianchi ◽

Giuseppe Belgioioso ◽

Sergio Grammatico

Keyword(s):

Nash Equilibrium ◽

Convergence Rate ◽

Proximal Point Algorithm ◽

Linear Convergence ◽

Proximal Point ◽

Linear Convergence Rate

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STRONG AND Δ - CONVERGENCE THEOREMS USING MODIFIED PROXIMAL POINT ALGORITHM IN CAT(0) SPACES

i-manager’s Journal on Mathematics ◽

10.26634/jmat.7.2.13999 ◽

2018 ◽

Vol 7 (2) ◽

pp. 8

Author(s):

KUMAR DAS APURVA ◽

DHAR DIWAN SHAILESH ◽

DASHPUTRE SAMIR ◽

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...

Keyword(s):

Proximal Point Algorithm ◽

Proximal Point ◽

Convergence Theorems

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A Rate of Metastability for the Halpern Type Proximal Point Algorithm

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2021.1876726 ◽

2021 ◽

Vol 42 (3) ◽

pp. 320-343

Author(s):

Pedro Pinto

Keyword(s):

Proximal Point Algorithm ◽

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A proximal point algorithm for the monotone second-order cone complementarity problem

Computational Optimization and Applications ◽

10.1007/s10589-011-9399-x ◽

2011 ◽

Vol 51 (3) ◽

pp. 1037-1063 ◽

Author(s):

Jia Wu ◽

Jein-Shan Chen

Keyword(s):

Complementarity Problem ◽

Proximal Point Algorithm ◽

Second Order ◽

Proximal Point ◽

Second Order Cone

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Proximal Point Algorithm for an Approximated Stochastic Optimal Control Problem

Monte Carlo Methods and Applications ◽

10.1515/mcma.2000.6.3.175 ◽

2000 ◽

Vol 6 (3) ◽

Author(s):

W. Grecksch ◽

F. Heyde ◽

Chr. Tammer

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Stochastic Optimal Control ◽

Proximal Point Algorithm ◽

Proximal Point ◽

Stochastic Optimal Control Problem

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A General Inertial Proximal Point Algorithm for Mixed Variational Inequality Problem

SIAM Journal on Optimization ◽

10.1137/140980910 ◽

2015 ◽

Vol 25 (4) ◽

pp. 2120-2142 ◽

Author(s):

Caihua Chen ◽

Shiqian Ma ◽

Junfeng Yang

Keyword(s):

Variational Inequality ◽

Proximal Point Algorithm ◽

Variational Inequality Problem ◽

Proximal Point ◽

Mixed Variational Inequality ◽

Inequality Problem

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The proximal point algorithm in metric spaces

Israel Journal of Mathematics ◽

10.1007/s11856-012-0091-3 ◽

2012 ◽

Vol 194 (2) ◽

pp. 689-701 ◽

Author(s):

Miroslav Bačák

Keyword(s):

Proximal Point Algorithm ◽

Metric Spaces ◽

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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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A two-phase-like proximal point algorithm in domains of positivity

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.09.054 ◽

2019 ◽

Vol 343 ◽

pp. 67-89

Author(s):

R.M. Gregório ◽

P.R. Oliveira ◽

C.D.S. Alves

Keyword(s):

Proximal Point Algorithm ◽

Proximal Point ◽

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About the relaxed cocoercivity and the convergence of the proximal point algorithm

Journal of the Egyptian Mathematical Society ◽

10.1016/j.joems.2013.03.014 ◽

2013 ◽

Vol 21 (3) ◽

pp. 281-284

Author(s):

Abdellatif Moudafi ◽

Zhenyu Huang

Keyword(s):

Proximal Point Algorithm ◽

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