A New Hybrid Extragradient Iterative Method for Approximating the Common Solutions of a System of Variational Inequalities, a Mixed Equilibrium Problem, and a Hierarchical Fixed Point Problem

摘要

We suggest and analyze an iterative scheme for findingthe approximate element of the common set of solutions of a system of variationalinequalities, a mixed equilibrium problem, and a hierarchical fixed point problem in areal Hilbert space. Strong convergence of the proposed method is proved under someconditions. The results presented in this paper extend and improve some well-knownresults in the literature.