Perturbed Iterative Algorithms for 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, split general quasi-variational inequality problem in Hilbert spaces. Using the resolvent operator technique, we propose two classes of perturbed iterative algorithms for the split general mixed variational inequality problem. Further, we discuss the convergence criteria of the iterative algorithms. The results presented here extend and improve many previously known results in this area.