A shrinking projection method for solving the split common null point problem in Banach spaces

Abstract

In this paper, in order to solve the split common null point problem, we investigate a new explicit iteration method, base on the shrinking projection method and e-enlargement of a maximal monotone operator. We also give some applications of our main results for the problem of split minimum point, multiple-sets split feasibility, and split variational inequality. Two numerical examples also are given to illustrate the effectiveness of the proposed algorithm.