Augmented Lagrangian Theory, Duality and Decomposition Methods for Variational Inequality Problems

D.L. Zhu

doi:10.1023/a:1023664709604

Augmented Lagrangian Theory, Duality and Decomposition Methods for Variational Inequality Problems

Journal of Optimization Theory and Applications ◽

10.1023/a:1023664709604 ◽

2003 ◽

Vol 117 (1) ◽

pp. 195-216 ◽

Cited By ~ 4

Author(s):

D.L. Zhu

Keyword(s):

Variational Inequality ◽

Augmented Lagrangian ◽

Decomposition Methods ◽

Variational Inequality Problems

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Augmented Lagrangian methods for variational inequality problems

RAIRO - Operations Research ◽

10.1051/ro/2010006 ◽

2010 ◽

Vol 44 (1) ◽

pp. 5-25 ◽

Cited By ~ 10

Author(s):

Alfredo N. Iusem ◽

Mostafa Nasri

Keyword(s):

Variational Inequality ◽

Augmented Lagrangian ◽

Variational Inequality Problems ◽

Augmented Lagrangian Methods ◽

Lagrangian Methods

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New decomposition methods for solving variational inequality problems

Mathematical and Computer Modelling ◽

10.1016/s0895-7177(03)00016-5 ◽

2003 ◽

Vol 37 (3-4) ◽

pp. 405-418 ◽

Cited By ~ 6

Author(s):

Deren Han ◽

Wenyu Sun

Keyword(s):

Variational Inequality ◽

Decomposition Methods ◽

Variational Inequality Problems

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A class of Dantzig–Wolfe type decomposition methods for variational inequality problems

Mathematical Programming ◽

10.1007/s10107-012-0599-7 ◽

2012 ◽

Vol 143 (1-2) ◽

pp. 177-209 ◽

Cited By ~ 5

Author(s):

Juan Pablo Luna ◽

Claudia Sagastizábal ◽

Mikhail Solodov

Keyword(s):

Variational Inequality ◽

Decomposition Methods ◽

Variational Inequality Problems ◽

Type Decomposition

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On the Analysis of Variance-reduced and Randomized Projection Variants of Single Projection Schemes for Monotone Stochastic Variational Inequality Problems

Set-Valued and Variational Analysis ◽

10.1007/s11228-021-00572-6 ◽

2021 ◽

Author(s):

Shisheng Cui ◽

Uday V. Shanbhag

Keyword(s):

Variational Inequality ◽

Analysis Of Variance ◽

Variational Inequality Problems ◽

Stochastic Variational Inequality

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Strong Convergence of the Modified Inertial Extragradient Method with Line-Search Process for Solving Variational Inequality Problems in Hilbert Spaces

Journal of Scientific Computing ◽

10.1007/s10915-021-01585-x ◽

2021 ◽

Vol 88 (3) ◽

Author(s):

Zhongbing Xie ◽

Gang Cai ◽

Xiaoxiao Li ◽

Qiao-Li Dong

Keyword(s):

Variational Inequality ◽

Strong Convergence ◽

Hilbert Spaces ◽

Line Search ◽

Extragradient Method ◽

Variational Inequality Problems ◽

Search Process

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Iterative algorithm by using the hybrid method in mathematical programming for solving variational inequality problems and equilibrium problems

Journal of Interdisciplinary Mathematics ◽

10.1080/09720502.2009.10700658 ◽

2009 ◽

Vol 12 (5) ◽

pp. 725-746 ◽

Cited By ~ 1

Author(s):

Ornrudee Suttisri ◽

Wiyada Kumam

Keyword(s):

Variational Inequality ◽

Mathematical Programming ◽

Iterative Algorithm ◽

Hybrid Method ◽

Equilibrium Problems ◽

Variational Inequality Problems

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A new LQP alternating direction method for solving variational inequality problems with separable structure

Optimization ◽

10.1080/02331934.2016.1244534 ◽

2016 ◽

Vol 65 (12) ◽

pp. 2251-2267

Author(s):

Abdellah Bnouhachem ◽

Abdelouahed Hamdi ◽

M. H. Xu

Keyword(s):

Variational Inequality ◽

Alternating Direction Method ◽

Variational Inequality Problems ◽

Separable Structure ◽

Alternating Direction

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Optimality, duality and gap function for quasi variational inequality problems

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv/2015053 ◽

2016 ◽

Vol 23 (1) ◽

pp. 297-308 ◽

Cited By ~ 2

Author(s):

Hadi Mirzaee ◽

Majid Soleimani-damaneh

Keyword(s):

Variational Inequality ◽

Gap Function ◽

Variational Inequality Problems ◽

Quasi Variational Inequality

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On Gap Functions and Duality of Variational Inequality Problems

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1997.5608 ◽

1997 ◽

Vol 214 (2) ◽

pp. 658-673 ◽

Cited By ~ 11

Author(s):

G.Y Chen ◽

C.J Goh ◽

X.Q Yang

Keyword(s):

Variational Inequality ◽

Variational Inequality Problems ◽

Gap Functions

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Smoothing Functions and Smoothing Newton Method for Complementarity and Variational Inequality Problems

Journal of Optimization Theory and Applications ◽

10.1023/a:1014861331301 ◽

2002 ◽

Vol 113 (1) ◽

pp. 121-147 ◽

Cited By ~ 45

Author(s):

L. Qi ◽

D. Sun

Keyword(s):

Variational Inequality ◽

Newton Method ◽

Variational Inequality Problems ◽

Smoothing Newton Method ◽

Smoothing Functions

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