System of Split General Variational Inequality Problems in Semi-inner Product Spaces

Abstract

In this paper, we introduce a new system of split general variational inequality problems which is a natural extension of system of split variational inequality problems and split variational inequality problems in semi-inner product spaces. We employ the retraction technique to propose an iterative algorithm for computing the approximate solution of the system of split general variational inequality problems. Moreover, the convergence analysis of the iterative algorithm is also discussed. Several special case which can be obtained from the main results are also presented.