Extrapolated sequential constraint method for variational inequality over the intersection of fixed-point sets

This paper deals with the solving of variational inequality problem where constrained set is given as intersection a number fixed-point sets. To this end, we present an extrapolated sequential constraint method. At each iteration, proposed method updated based on ideas hybrid conjugate gradient used to accelerate well-known steepest descent method, and cyclic cutter for common problem. We prove strong convergence under some suitable assumptions step-size sequences. finally show numerical efficiency compared existing methods.