Iterative scheme for the system of generalized variational inequalities in non-compact subsets of Banach spaces

Abstract

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