ALGORITHMS FOR A SYSTEM OF VARIATIONAL INEQUALITY PROBLEMS AND FIXED POINT PROBLEMS WITH DEMICONTRACTIVE MAPPINGS

In this paper, we construct new iterative algorithms for approximating common solutions of a system of variational inequality and a xed point problems with demicontractive mapping in real Banach spaces. Furthermore, we prove that the proposed algorithm has strong convergence. Finally, we apply our results for solving a system of convex minimization problem coupled with fixed point problems. Our technique of proof is of independent interest.