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A Projection and Contraction Method for P-Order Cone Constraint Stochastic Variational Inequality Problem

A Projection and Contraction Method for P-Order Cone Constraint Stochastic Variational Inequality Problem
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摘要 In this paper, we study the p-order cone constraint stochastic variational inequality problem. We first take the sample average approximation method to deal with the expectation and gain an approximation problem, further the rationality is given. When the underlying function is Lipschitz continuous, we acquire a projection and contraction algorithm to solve the approximation problem. In the end, the method is applied to some numerical experiments and the effectiveness of the algorithm is verified. In this paper, we study the p-order cone constraint stochastic variational inequality problem. We first take the sample average approximation method to deal with the expectation and gain an approximation problem, further the rationality is given. When the underlying function is Lipschitz continuous, we acquire a projection and contraction algorithm to solve the approximation problem. In the end, the method is applied to some numerical experiments and the effectiveness of the algorithm is verified.
作者 Mengdi Zheng Xiaohui Xu Juhe Sun Mengdi Zheng;Xiaohui Xu;Juhe Sun(School of Science, Shenyang Aerospace University, Shenyang, China)
机构地区 School of Science
出处 《Journal of Applied Mathematics and Physics》 2022年第4期1113-1125,共13页 应用数学与应用物理(英文)
关键词 Stochastic Variational Inequality Sample Average Approximation Projection and Contraction Method Convergence Analysis Numerical Experiments Stochastic Variational Inequality Sample Average Approximation Projection and Contraction Method Convergence Analysis Numerical Experiments
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