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Expected Residual Minimization Method for a Class of Stochastic Quasivariational Inequality Problems

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  • Hui-Qiang Ma
  • Nan-Jing Huang

Abstract

We consider the expected residual minimization method for a class of stochastic quasivariational inequality problems (SQVIP). The regularized gap function for quasivariational inequality problem (QVIP) is in general not differentiable. We first show that the regularized gap function is differentiable and convex for a class of QVIPs under some suitable conditions. Then, we reformulate SQVIP as a deterministic minimization problem that minimizes the expected residual of the regularized gap function and solve it by sample average approximation (SAA) method. Finally, we investigate the limiting behavior of the optimal solutions and stationary points.

Suggested Citation

  • Hui-Qiang Ma & Nan-Jing Huang, 2012. "Expected Residual Minimization Method for a Class of Stochastic Quasivariational Inequality Problems," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-15, November.
    • Handle: RePEc:hin:jnljam:816528
    DOI: 10.1155/2012/816528
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