An algorithm for the split-feasibility problems with application to the split-equality problem

Abstract

Abstract In this paper, we study the split-feasibility problem in Hilbert spaces by using the projected reflected gradient algorithm. As applications, we study the convex linear inverse problem and the split-equality problem in Hilbert spaces, and we give new algorithms for these problems. Finally, numerical results are given for our main results.

Keywords

• split-feasibility problem
• split-equality problem
• linear inverse problem
• projection