Inexact Newton Methods for Semismooth Equations with Applications to Variational Inequality Problems

Nonlinear Optimization and Applications ◽

10.1007/978-1-4899-0289-4_9 ◽

1996 ◽

pp. 125-139 ◽

Cited By ~ 26

Author(s):

Francisco Facchinei ◽

Andreas Fischer ◽

Christian Kanzow

Keyword(s):

Variational Inequality ◽

Variational Inequality Problems ◽

Newton Methods ◽

Inexact Newton Methods

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Numerical Experiments for a Class of Squared Smoothing Newton Methods for Box Constrained Variational Inequality Problems

Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods - Applied Optimization ◽

10.1007/978-1-4757-6388-1_22 ◽

1998 ◽

pp. 421-441 ◽

Cited By ~ 5

Author(s):

Guanglu Zhou ◽

Defeng Sun ◽

Liqun Qi

Keyword(s):

Variational Inequality ◽

Numerical Experiments ◽

Variational Inequality Problems ◽

Newton Methods ◽

Smoothing Newton Methods

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Regular Pseudo-Smooth NCP and BVIP Functions and Globally and Quadratically Convergent Generalized Newton Methods for Complementarity and Variational Inequality Problems

Mathematics of Operations Research ◽

10.1287/moor.24.2.440 ◽

1999 ◽

Vol 24 (2) ◽

pp. 440-471 ◽

Cited By ~ 24

Author(s):

Liqun Qi

Keyword(s):

Variational Inequality ◽

Variational Inequality Problems ◽

Newton Methods ◽

Generalized Newton Methods ◽

Generalized Newton

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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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Globally Convergent Inexact Newton Methods

SIAM Journal on Optimization ◽

10.1137/0804022 ◽

1994 ◽

Vol 4 (2) ◽

pp. 393-422 ◽

Cited By ~ 274

Author(s):

Stanley C. Eisenstat ◽

Homer F. Walker

Keyword(s):

Newton Methods ◽

Inexact Newton Methods ◽

Globally Convergent

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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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