A Study Of Iterative Methods For The Common Solutions Of Hierarchical Fixed Points And Variational Inequalities

Hierarchical fixed point and variational inequalities can be applied to many practical problems,such as signal processing,energy control and cyber source configuration can be transformed into solving some nonlinear mappings on the set of variational inequality problems,so the iterative algorithm for layered fixed point and variational inequalities has important practical significance.Under the proper conditions,the strong convergence of the algorithms is proved.In this paper,a series of contraction mappings are used to make the algorithms converge strongly,which is the extension of the viscosity iterative algorithm.And through the validation of numerical examples,the only solution of the obtained data approximating the variational inequality is observed,and the feasibility and effectiveness of this method are illustrated.