A projection-type algorithm for solving generalized mixed variational inequalities

Abstract

We propose a projection-type algorithm for generalized mixed variational inequality problem in Euclidean space ℝn. We establish the convergence theorem for the proposed algorithm, provided the multi-valued mapping is continuous and f-pseudomonotone with nonempty compact convex values on dom(f), where f: ℝn → ℝU{+∞} is a proper function. The algorithm presented in this paper generalize and improve some known algorithms in literatures. Preliminary computational experience is also reported.