A self-adaptive step size algorithm for solving the split feasibility problem with multiple output sets in Hilbert spaces

Abstract

The purpose of this manuscript is to introduce a new self- adaptive algorithm for solving the split feasibility problem with multiple output sets in real Hilbert spaces. Our algorithm leverages information from previous steps to guide its execution, thereby removing the need to compute or estimate the norm of the given operator. Lastly, we present a simple numerical example to illustrate the performance of our proposed algorithm.