New iterative regularization methods for the multiple-sets split feasibility problem

Abstract

Abstract In this paper, in order to solve the multiple-sets split feasibility problem in Hilbert spaces, we introduce the regularization methods of Lavrentiev’s and Bruck-Bakushinskii’s type, where the iterative parameter is chosen independently of the operator norm. We also consider some particular cases of the introduced methods. Applications and numerical experiments are given for illustration and comparison.