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We introduce a new system of split variational inequality problems which is anatural extension of split variational inequality problem in semi-inner productspaces. We use the retraction technique to propose an iterative algorithm forcomputing the approximate solution of the system of split variationalinequality problems. Further, the convergence analysis of the iterativealgorithm is also discussed. Several special cases which can be obtained fromthe main result are also discussed.

System of split variational inequality problems in semi-inner product spaces