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Equivalence of variational inequality problems to unconstrained minimization

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01582152openalex-snapshot
A general descent framework for the monotone variational inequality problem
inferredcites →https://doi.org/10.1007/bf01582255openalex-snapshot
Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
inferredcites →https://doi.org/10.1007/bf01584381openalex-snapshot
A new algorithm for solving variational inequalities with application to the traffic assignment problem
inferredcites →https://doi.org/10.1007/bf01585171openalex-snapshot
Nonlinear complementarity as unconstrained and constrained minimization
inferredcites →https://doi.org/10.1007/bf01585696openalex-snapshot
Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
inferredcites →https://doi.org/10.1007/bf02191990openalex-snapshot
On stationary points of the implicit Lagrangian for nonlinear complementarity problems
inferredcites →https://doi.org/10.1016/0167-6377(87)90007-1openalex-snapshot
A note on a globally convergent Newton method for solving monotone variational inequalities
inferredcites →https://doi.org/10.1023/a:1022660704427openalex-snapshot
Unconstrained Optimization Reformulations of Variational Inequality Problems
inferredcites →https://doi.org/10.1137/0322061openalex-snapshot
Two-Metric Projection Methods for Constrained Optimization
inferredcites →https://doi.org/10.1137/0806024openalex-snapshot
Equivalence of Complementarity Problems to Differentiable Minimization: A Unified Approach
inferredcites →https://doi.org/10.1137/s0363012994277645openalex-snapshot
Equivalent Unconstrained Minimization and Global Error Bounds for Variational Inequality Problems
inferredcites →https://doi.org/10.1287/moor.12.3.474openalex-snapshot
A Posteriori Error Bounds for the Linearly-Constrained Variational Inequality Problem
inferredcites →https://doi.org/10.1287/trsc.14.1.42openalex-snapshot
Traffic Equilibrium and Variational Inequalities

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/9780470400531.eorms0947openalex-snapshot
Variational Inequalities
inferred← citeshttps://doi.org/10.1007/978-0-387-72778-3_5openalex-snapshot
Finite Dimensional Variational Inequalities and Nash Equilibria
inferred← citeshttps://doi.org/10.1007/978-0-387-72778-3_6openalex-snapshot
Differential Variational Inequalities and Differential Nash Games
inferred← citeshttps://doi.org/10.1007/978-1-4613-3335-7_5openalex-snapshot
Newton-type Methods for Variational Inequalities
inferred← citeshttps://doi.org/10.1007/978-1-4757-6099-6_11openalex-snapshot
Regularized Gap Functions and D-Gap Functions for Nonsmooth Variational Inequalities
inferred← citeshttps://doi.org/10.1007/978-1-4757-6388-1_8openalex-snapshot
Merit Functions and Stability for Complementarity Problems
inferred← citeshttps://doi.org/10.1007/978-1-4899-0289-4_11openalex-snapshot
Merit Functions for Variational Inequality and Complementarity Problems
inferred← citeshttps://doi.org/10.1007/978-1-4899-7594-2_7openalex-snapshot
Nash Games
inferred← citeshttps://doi.org/10.1007/978-3-030-00205-3_2openalex-snapshot
Theory for Equilibria
inferred← citeshttps://doi.org/10.1007/978-3-030-54621-2_275-1openalex-snapshot
Implicit Lagrangian
inferred← citeshttps://doi.org/10.1007/978-3-032-06924-5_3openalex-snapshot
General Complementarity Functions
inferred← citeshttps://doi.org/10.1007/978-3-0348-8871-4_10openalex-snapshot
Unconstrained Minimization of Quadratic Splines and Applications
inferred← citeshttps://doi.org/10.1007/bf02614322openalex-snapshot
Error bounds in mathematical programming
inferred← citeshttps://doi.org/10.1007/bf02680550openalex-snapshot
Theoretical and numerical investigation of the D-gap function for box constrained variational inequalities
inferred← citeshttps://doi.org/10.1007/bf02680556openalex-snapshot
Merit functions for semi-definite complemetarity problems
inferred← citeshttps://doi.org/10.1007/bf03398684openalex-snapshot
A note on Unconstrained Reformulation of Complementarity Problem
inferred← citeshttps://doi.org/10.1007/s00033-021-01602-xopenalex-snapshot
Error bound analysis of the D-gap functions for a class of elliptic variational inequalities with applications to frictional contact mechanics
inferred← citeshttps://doi.org/10.1007/s001860300282openalex-snapshot
A feasible descent algorithm for solving variational inequality problems
inferred← citeshttps://doi.org/10.1007/s00245-003-0771-9openalex-snapshot
The Dual Gap Function for Variational Inequalities
inferred← citeshttps://doi.org/10.1007/s10107-002-0369-zopenalex-snapshot
Convergence rate analysis of iteractive algorithms for solving variational inequality problems
inferred← citeshttps://doi.org/10.1007/s10107-005-0617-0openalex-snapshot
An unconstrained smooth minimization reformulation of the second-order cone complementarity problem
inferred← citeshttps://doi.org/10.1007/s10107-016-0988-4openalex-snapshot
An approximation scheme for a class of risk-averse stochastic equilibrium problems
inferred← citeshttps://doi.org/10.1007/s101070050094openalex-snapshot
A hybrid Newton method for solving the variational inequality problem via the D-gap function
inferred← citeshttps://doi.org/10.1007/s10114-008-7096-1openalex-snapshot
Unconstrained optimization reformulations of equilibrium problems
inferred← citeshttps://doi.org/10.1007/s10288-014-0256-5openalex-snapshot
Merit functions: a bridge between optimization and equilibria
inferred← citeshttps://doi.org/10.1007/s10479-015-2013-3openalex-snapshot
Merit functions: a bridge between optimization and equilibria
inferred← citeshttps://doi.org/10.1007/s10483-013-1649-xopenalex-snapshot
New smooth gap function for box constrained variational inequalities
inferred← citeshttps://doi.org/10.1007/s10589-007-9132-yopenalex-snapshot
A globally convergent descent method for nonsmooth variational inequalities
inferred← citeshttps://doi.org/10.1007/s10589-007-9145-6openalex-snapshot
Optimization reformulations of the generalized Nash equilibrium problem using Nikaido-Isoda-type functions
inferred← citeshttps://doi.org/10.1007/s10898-014-0223-xopenalex-snapshot
D-gap functions and descent techniques for solving equilibrium problems
inferred← citeshttps://doi.org/10.1007/s10898-025-01558-6openalex-snapshot
Kurdyka-Łojasiewicz inequality and error bounds of D-Gap functions for nonsmooth and nonmonotone variational inequality problems
inferred← citeshttps://doi.org/10.1007/s10957-004-1839-7openalex-snapshot
Equivalent Optimization Formulations and Error Bounds for Variational Inequality Problems
inferred← citeshttps://doi.org/10.1007/s10957-007-9193-1openalex-snapshot
D-Gap Functions for Nonsmooth Variational Inequality Problems
inferred← citeshttps://doi.org/10.1007/s10957-013-0514-2openalex-snapshot
Regularizations for Stochastic Linear Variational Inequalities
inferred← citeshttps://doi.org/10.1007/s10957-015-0834-5openalex-snapshot
Gap Functions and Global Error Bounds for Generalized Mixed Variational Inequalities on Hadamard Manifolds
inferred← citeshttps://doi.org/10.1016/j.aml.2008.03.010openalex-snapshot
MiPSP and MaPSP for prevariational inequalities with set-valued mappings
inferred← citeshttps://doi.org/10.1016/j.cam.2009.03.006openalex-snapshot
An algorithm based on the generalized D-gap function for equilibrium problems
inferred← citeshttps://doi.org/10.1016/j.cam.2009.11.041openalex-snapshot
Gap functions and global error bounds for set-valued variational inequalities
inferred← citeshttps://doi.org/10.1016/j.cnsns.2026.109805openalex-snapshot
Differentiable minimization problems for variational-hemivariational inequalities
inferred← citeshttps://doi.org/10.1016/j.flowmeasinst.2016.12.002openalex-snapshot
Hydraulic modelling of control devices in loop equations of water distribution networks
inferred← citeshttps://doi.org/10.1016/j.jmaa.2005.05.011openalex-snapshot
Merit functions for general variational inequalities
inferred← citeshttps://doi.org/10.1016/j.jmaa.2008.12.048openalex-snapshot
Regularized gap function as penalty term for constrained minimization problems
inferred← citeshttps://doi.org/10.1016/j.jmaa.2013.03.049openalex-snapshot
Gap functions and error bounds for inverse quasi-variational inequality problems
inferred← citeshttps://doi.org/10.1016/j.orl.2017.06.006openalex-snapshot
Error bounds for affine variational inequalities with second-order cone constraints
inferred← citeshttps://doi.org/10.1016/s0022-247x(02)00554-1openalex-snapshot
Merit functions and error bounds for generalized variational inequalities
inferred← citeshttps://doi.org/10.1016/s0167-6377(98)00023-6openalex-snapshot
Solving box constrained variational inequalities by using the natural residual with D-gap function globalization
inferred← citeshttps://doi.org/10.1016/s0377-2217(03)00423-5openalex-snapshot
Solving non-additive traffic assignment problems: A descent method for co-coercive variational inequalities
inferred← citeshttps://doi.org/10.1023/a:1013048729944openalex-snapshot
Modified Goldstein–Levitin–Polyak Projection Method for Asymmetric Strongly Monotone Variational Inequalities
inferred← citeshttps://doi.org/10.1023/a:1021336531779openalex-snapshot
Bound Constrained Smooth Optimization for Solving Variational Inequalities and Related Problems
inferred← citeshttps://doi.org/10.1023/a:1021712513685openalex-snapshot
Derivative-Free Methods for Monotone Variational Inequality and Complementarity Problems
inferred← citeshttps://doi.org/10.1023/a:1021802830910openalex-snapshot
Tikhonov Regularization Methods for Variational Inequality Problems
inferred← citeshttps://doi.org/10.1023/a:1022601017090openalex-snapshot
Solution of Finite-Dimensional Variational Inequalities Using Smooth Optimization with Simple Bounds
inferred← citeshttps://doi.org/10.1023/a:1022607213765openalex-snapshot
Convexity of the Implicit Lagrangian
inferred← citeshttps://doi.org/10.1023/a:1022660704427openalex-snapshot
Unconstrained Optimization Reformulations of Variational Inequality Problems
inferred← citeshttps://doi.org/10.1023/a:1022688013571openalex-snapshot
On Unconstrained and Constrained Stationary Points of the Implicit Lagrangian
inferred← citeshttps://doi.org/10.1023/a:1022695523877openalex-snapshot
Global Method for Monotone Variational Inequality Problems with Inequality Constraints
inferred← citeshttps://doi.org/10.1023/a:1026506516738openalex-snapshot
Some Methods Based on the D-Gap Function for Solving Monotone Variational Inequalities
inferred← citeshttps://doi.org/10.1023/a:1026598214921openalex-snapshot
Merit Functions for Complementarity and Related Problems: A Survey
inferred← citeshttps://doi.org/10.1023/b:jota.0000006688.13248.04openalex-snapshot
Convergence and Error Bound of a Method for Solving Variational Inequality Problems via the Generalized D-Gap Function
inferred← citeshttps://doi.org/10.1080/00036811.2017.1336547openalex-snapshot
Generalized -D-gap functions and error bounds for a class of equilibrium problems
inferred← citeshttps://doi.org/10.1080/01630563.2016.1232728openalex-snapshot
Levitin-Polyak Well-Posedness of Constrained Inverse Quasivariational Inequality
inferred← citeshttps://doi.org/10.1080/02331934.2011.583987openalex-snapshot
A note on D-gap functions for equilibrium problems
inferred← citeshttps://doi.org/10.1080/02331934.2011.611884openalex-snapshot
Three classes of merit functions for the complementarity problem over a closed convex cone
inferred← citeshttps://doi.org/10.1080/02331934.2016.1163555openalex-snapshot
Merit functions and error bounds for constrained mixed set-valued variational inequalities via generalizedf-projection operators
inferred← citeshttps://doi.org/10.1080/02331934.2026.2737728openalex-snapshot
Kurdyka-Łojasiewicz inequality of D-gap function for nonsmooth and nonmonotone variational-hemivariational inequality problem
inferred← citeshttps://doi.org/10.1080/09720502.2013.800732openalex-snapshot
Lagrangian dual methods for variational inequalities
inferred← citeshttps://doi.org/10.1080/1055678021000056563openalex-snapshot
A new proximal-based globalization strategy for the Josephy‐Newton method for variational inequalities
inferred← citeshttps://doi.org/10.1080/10556780600834745openalex-snapshot
Regularized nonsmooth Newton method for multi-class support vector machines
inferred← citeshttps://doi.org/10.1080/10556788.2016.1146266openalex-snapshot
An unconstrained differentiable penalty method for implicit complementarity problems
inferred← citeshttps://doi.org/10.1080/10556789708805647openalex-snapshot
Global method for monotone variational inequality probelms on polyhedral sets
inferred← citeshttps://doi.org/10.1080/10556789908805734openalex-snapshot
A hybrid Josephy — Newton method for solving box constrained variational equality roblems via the D-gap function
inferred← citeshttps://doi.org/10.1109/72.728383openalex-snapshot
A general methodology for designing globally convergent optimization neural networks
inferred← citeshttps://doi.org/10.1109/cdc56724.2024.10885989openalex-snapshot
A Gap Penalty Method for Optimal Control of Linear Complementarity Systems
inferred← citeshttps://doi.org/10.1109/ijcnn.2000.859443openalex-snapshot
A recurrent neural network for solving nonlinear projection equations
inferred← citeshttps://doi.org/10.1134/s0965542512040070openalex-snapshot
On active-set methods for the quadratic programming problem
inferred← citeshttps://doi.org/10.1137/070696283openalex-snapshot
Error Bounds of Generalized D-Gap Functions for Nonsmooth and Nonmonotone Variational Inequality Problems
inferred← citeshttps://doi.org/10.1137/s1052623400377591openalex-snapshot
On the Resolution of the Generalized Nonlinear Complementarity Problem
inferred← citeshttps://doi.org/10.1137/s1052623496314173openalex-snapshot
A New Unconstrained Differentiable Merit Function for Box Constrained Variational Inequality Problems and a Damped Gauss--Newton Method
inferred← citeshttps://doi.org/10.1142/s0217595907001309openalex-snapshot
ON THE CONSTRUCTION OF GAP FUNCTIONS FOR VARIATIONAL INEQUALITIES VIA CONJUGATE DUALITY
inferred← citeshttps://doi.org/10.1142/s0217595909002171openalex-snapshot
VECTOR-VALUED IMPLICIT LAGRANGIAN FOR SYMMETRIC CONE COMPLEMENTARITY PROBLEMS
inferred← citeshttps://doi.org/10.1142/s0217595920500360openalex-snapshot
A Hybrid Newton Method for Stochastic Variational Inequality Problems and Application to Traffic Equilibrium
inferred← citeshttps://doi.org/10.1155/2008/531361openalex-snapshot
On Gap Functions for Quasi‐Variational Inequalities
inferred← citeshttps://doi.org/10.1155/ijmms.2005.1085openalex-snapshot
Error bounds for general mixed quasivariational inequalities
inferred← citeshttps://doi.org/10.1360/ssm-2020-0158openalex-snapshot
Differentiability of regularized gap functions for a kind of variational inclusions and local uniqueness of solutions
inferred← citeshttps://doi.org/10.14492/hokmj/1350912794openalex-snapshot
A modified Newton method for asymmetric variational inequality problems
inferred← citeshttps://doi.org/10.15672/hujms.1183739openalex-snapshot
Error bounds for a class of history-dependent variational inequalities controlled by $\mathcal{D}$-gap~functions
inferred← citeshttps://doi.org/10.18576/amis/100621openalex-snapshot
Error Bounds for General Variational Inclusion Involving Difference of Operators
inferred← citeshttps://doi.org/10.2298/fil2008739hopenalex-snapshot
Difference gap functions and global error bounds for random mixed equilibrium problems
inferred← citeshttps://doi.org/10.23952/asvao.5.2023.3.03openalex-snapshot
Upper error bounds of DG-functions for history-dependent variational-hemivariational inequalities
inferred← citeshttps://doi.org/10.2478/cmam-2003-0018openalex-snapshot
D-gap Functions for a Class of Equilibrium Problems in Banach Spaces
inferred← citeshttps://doi.org/10.2478/s11533-008-0049-1openalex-snapshot
Generalized variational-like inequalities for pseudo-monotone type III operators
inferred← citeshttps://doi.org/10.33993/jnaat361-859openalex-snapshot
Application des méthodes d'optimisation pour la résolution du problème d'inégalités variationnelles
inferred← citeshttps://doi.org/10.33993/jnaat371-870openalex-snapshot
Numerical experiments with two smoothing type-algorithms for nonlinear complementarity problems
inferred← citeshttps://doi.org/10.3934/jimo.2014.10.977openalex-snapshot
A sample average approximation method based on a D-gap function for stochastic variational inequality problems
inferred← citeshttps://doi.org/10.3934/jimo.2019001openalex-snapshot
Error bounds of regularized gap functions for nonmonotone Ky Fan inequalities
inferred← citeshttps://doi.org/10.3934/math.2021704openalex-snapshot
Merit functions for absolute value variational inequalities
inferred← citeshttps://doi.org/10.3934/mcrf.2014.4.365openalex-snapshot
Clarke directional derivatives of regularized gap functions for nonsmooth quasi-variational inequalities
inferred← citeshttps://doi.org/10.3934/naco.2013.3.627openalex-snapshot
Error bounds for symmetric cone complementarity problems
inferred← citeshttps://doi.org/10.5958/1945-919x.2020.00008.0openalex-snapshot
Error Bounds for Extended Generalized Mixed Variational Inequality Problems Using Gap Functions
inferred← citeshttps://doi.org/10.68381/jca25071openalex-snapshot
The Dual Gap Function and Error Bounds for Strongly Monotone Variational Inequalities
inferred← citeshttps://doi.org/10.7153/jmi-01-23openalex-snapshot
On merit functions for quasivariational inequalities
inferred← citeshttps://doi.org/10.7153/mia-05-60openalex-snapshot
A Lagrangian dual method for solving variational inequalities
inferred← citeshttps://doi.org/10.7153/mia-07-45openalex-snapshot
A simple proof for some important properties of the projection mapping
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