摘要

In this paper, we propose an extragradient method for generalized variational inequality with multi-valued mapping. Our method is proven to be globally convergent to a solution of the variational inequality problem, provided the multi-valued mapping is continuous and pseudomonotone with nonempty compact convex values. We present an algorithmic framework of extragradient-type methods for multi-valued variational inequalities. Preliminary computational experience is also reported.