The split feasibility problem with some projection methods in Banach spaces (Q2657219)

Summary: In this paper, we study the split feasibility problem in Banach spaces. At first, we prove that a solution of this problem is a solution of the equivalent equation defined by using a metric projection, a~generalized projection, and sunny generalized nonexpansive retraction, respectively. Then, using the hybrid method with these projections, we prove strong convergence theorems in mathematical programming in order to find a solution of the split feasibility problem in Banach spaces.