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AbstractWe propose an inertial KM-type extragradient scheme to approximate a common solution of a variational inequality problem and a hierarchical fixed point problem for nonexpansive mappings. This scheme generalizes and unifies a number of known iterative schemes. Furthermore, we discuss the weak convergence for the proposed scheme. We also discuss an example to illustrate the main theorem.doi:10.1186/s13660-021-02565-3 fatcat:yjqr44cccfcgva63bqbnhoxuzm