GENERALIZED COMPLEMENTARITY PROBLEM WITH ITS CORRESPONDING GENERALIZED VARIATIONAL INEQUALITY PROBLEM INVOLVING XOR-OPERATION

In this paper, we study a generalized complementarity problem and its corresponding generalized variational inequality problem involving XOR-operation. It is shown that both the problems are equivalent if the underlying convex set is a cone. An iterative algorithm is established to approximate the solution of generalized variational inequality problem involving XOR-operation using projection operator. Finally, an existence and convergence result is proved and a numerical example is provided using Matlab program.