NEW ITERATIVE METHODS OF KRASNOSEL’SKII-MANN TYPE FOR THE MULTIPLE-SETS SPLIT FEASIBILITY PROBLEM

Abstract

In this paper, for solving the multiple-sets split feasibility problem (MSSFP) in Hilbert spaces, a new iterative method of Krasnosel’skiiMann type and its combination with the steepest-descent algorithm are presented. In particular, the step size in these methods is calculated directly from the iteration procedure without prior knowledge of operator norms. A numerical example is given for illustrating the introduced methods.