Some Parallel Algorithms for a New System of Quasi Variational Inequalities

Abstract

In this paper, we introduce a new system of quasi variational inequalities. The projection technique is used to establish the equivalence between this new system of quasi variational inequalities and the fixed point problem. The fixed point formulation enables us to suggest some parallel projection iterative methods for solving the system of quasi variational inequalities. Convergence analysis of the proposed methods is investigated. Several special cases are discussed. Results proved in this paper continue to hold for these problems.