Iterative Algorithm of Approximating Solutions for the System of Generalized Variational Inequalities

By introducing a new iteration algorithm, an iterative method of approximating solutions for the system of generalized variational inequalities is proposed in Banach spaces. By the properties of the generalized f-projection operator, new existence theorems and convergence results for the iterative algorithm are given in non-compact subsets of uniformly convex and uniformly smooth Banach spaces.