Split General Mixed Variational Inequality Problem

In this paper, we introduce a split general mixed variational inequality problem which is a natural extension of a split variational inequality problem, mixed variational and variational inequality problems in Hilbert spaces.Using the resolvent operator technique, we propose an iterative algorithm for a split general mixed variational inequality problem and discuss some special cases.Further,we discuss the convergence criteria of these iterative algorithms.The results presented in this paper generalize, unify and improve many previously known results for mixed variational and variational inequality problems.