Expected residual minimization method for stochastic variational inequality problems with nonlinear perturbations

DOI10.1016/j.amc.2012.11.074zbMath1277.49011OpenAlexW2041074825MaRDI QIDQ371551

Meng Wu, Hui-qiang Ma, Nan-Jing Huang, Jiu-Ping Xu

Publication date: 10 October 2013

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.11.074

zbMATH Keywords

convergenceerror boundlevel setquasi-Monte Carlo methodstochastic variational inequalityexpected residual minimization (ERM) problem

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Variational inequalities (49J40) Optimal stochastic control (93E20) Existence of optimal solutions to problems involving randomness (49J55)

Related Items (6)

Convergence analysis of weighted expected residual method for nonlinear stochastic variational inequality problems ⋮ Deterministic bicriteria model for stochastic variational inequalities ⋮ On the unconstrained optimization reformulations for a class of stochastic vector variational inequality problems ⋮ Method of weighted expected residual for solving stochastic variational inequality problems ⋮ Solvability of parabolic variational-hemivariational inequalities involving space-fractional Laplacian ⋮ Unconstrained optimization reformulation for stochastic nonlinear complementarity problems

Cites Work

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• CVaR-based formulation and approximation method for stochastic variational inequalities
• New reformulation and feasible semismooth Newton method for a class of stochastic linear complementarity problems
• A smoothing Levenberg-Marquardt algorithm for solving a class of stochastic linear complementarity problem
• Stochastic nonlinear complementarity problem and applications to traffic equilibrium under uncertainty
• Robust solution of monotone stochastic linear complementarity problems
• The \(SC^1\) 1property of an expected residual function arising from stochastic complementarity problems
• Expected residual minimization method for stochastic variational inequality problems
• Convergence results of the ERM method for nonlinear stochastic variational inequality problems
• Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
• Sample-path solution of stochastic variational inequalities
• On some non-linear elliptic differential functional equations
• Combined Monte Carlo sampling and penalty method for Stochastic nonlinear complementarity problems
• Stochastic $R_0$ Matrix Linear Complementarity Problems
• Stochastic mathematical programs with equilibrium constraints, modelling and sample average approximation
• SAMPLE AVERAGE APPROXIMATION METHODS FOR A CLASS OF STOCHASTIC VARIATIONAL INEQUALITY PROBLEMS
• A Stochastic Version of a Stackelberg-Nash-Cournot Equilibrium Model
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Stochastic Approximation Approaches to the Stochastic Variational Inequality Problem
• Expected Residual Minimization Method for Stochastic Linear Complementarity Problems
• New restricted NCP functions and their applications to stochastic NCP and stochastic MPEC
• An Implicit Programming Approach for a Class of Stochastic Mathematical Programs with Complementarity Constraints
• New reformulations for stochastic nonlinear complementarity problems

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