Convergence Analysis of Sample Average Approximation of Two-Stage Stochastic Generalized Equations
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[1] R. Tyrrell Rockafellar,et al. Variational Analysis , 1998, Grundlehren der mathematischen Wissenschaften.
[2] Xiaojun Chen,et al. Discrete approximation of two-stage stochastic and distributionally robust linear complementarity problems , 2017, Mathematical Programming.
[3] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.
[4] R. Tyrrell Rockafellar,et al. Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging , 2019, Math. Program..
[5] R. Tyrrell Rockafellar,et al. Newton’s method for generalized equations: a sequential implicit function theorem , 2010, Math. Program..
[6] Yongchao Liu,et al. Quantitative Stability Analysis of Stochastic Generalized Equations , 2014, SIAM J. Optim..
[7] Zhengyu Wang,et al. Computational error bounds for a differential linear variational inequality , 2012 .
[8] Alexander Shapiro,et al. Lectures on Stochastic Programming: Modeling and Theory , 2009 .
[9] J. Gauvin,et al. Differential properties of the marginal function in mathematical programming , 1982 .
[10] R. Tyrrell Rockafellar,et al. Stochastic variational inequalities: single-stage to multistage , 2017, Math. Program..
[11] F. Facchinei,et al. Finite-Dimensional Variational Inequalities and Complementarity Problems , 2003 .
[12] Siegfried Schaible,et al. Handbook of Generalized Convexity and Generalized Monotonicity , 2005 .
[13] Michael Patriksson,et al. Stochastic mathematical programs with equilibrium constraints , 1999, Oper. Res. Lett..
[14] R. Tyrrell Rockafellar,et al. Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets , 1996, SIAM J. Optim..
[15] Stephen M. Robinson,et al. Strongly Regular Generalized Equations , 1980, Math. Oper. Res..
[16] A. Shapiro,et al. Stochastic mathematical programs with equilibrium constraints, modelling and sample average approximation , 2008 .
[17] Defeng Sun,et al. Semismooth Homeomorphisms and Strong Stability of Semidefinite and Lorentz Complementarity Problems , 2003, Math. Oper. Res..
[18] A. Shapiro. Sensitivity Analysis of Generalized Equations , 2003 .
[19] Xiaojun Chen,et al. Two-stage stochastic variational inequalities: an ERM-solution procedure , 2017, Mathematical Programming.
[20] Jong-Shi Pang,et al. Two-stage non-cooperative games with risk-averse players , 2017, Math. Program..
[21] Alexey F. Izmailov. Strongly regular nonsmooth generalized equations , 2014, Math. Program..
[22] Jerzy Kyparisis. Solution differentiability for variational inequalities , 1990, Math. Program..
[23] Xiaojun Chen,et al. Stochastic Variational Inequalities: Residual Minimization Smoothing Sample Average Approximations , 2012, SIAM J. Optim..
[24] John M. Wilson,et al. Introduction to Stochastic Programming , 1998, J. Oper. Res. Soc..
[25] J. Warga,et al. Fat homeomorphisms and unbounded derivate containers , 1981 .
[26] Huifu Xu. Uniform exponential convergence of sample average random functions under general sampling with applications in stochastic programming , 2010 .
[27] Y. Ye,et al. On Homotopy-Smoothing Methods for Box-Constrained Variational Inequalities , 1999 .