Convergence results of the ERM method for nonlinear stochastic variational inequality problems
The authors consider the expected residual minimization (ERM) method proposed by \textit{M. J. Luo} and \textit{G. H. Lin} [J. Optim. Theory Appl. 140, 103--116 (2009; Zbl 1190.90112)] and continue to study the proposed method for a stochastic variational inequality problem. The function involved is assumed to be nonlinear in this paper. The authors first consider a quasi-Monte Carlo method for the case where the underlying sample space is compact and show that the ERM method is convergent under very mild conditions. Then, a compact approximation approach is presented for the case where the sample space is noncompact.
scientific article; zbMATH DE number 5625126