Strong convergence result for solving split hierarchical variational inequality problem for demicontractive mappings

Abstract

The purpose of this paper is to study the split Hierarchical variational inequality prob- lem and the convergence analysis in Hilbert space. Moreover we introduce an itera- tive algorithm to approximate the solution of split Hierarchical variational inequality problem for demi-contractive mappings in a real Hilbert space and obtain a strong convergence result with no compactness assumptions on the space and the map.