The Split Common Fixed Point Problem and the Hybrid Method in Banach Spaces (Nonlinear Analysis and Convex Analysis)

Abstract

In this article, we consider the split common fixed point problem in Banach spaces. Using the hybrid method in mathematical programming, we prove a strong convergence theorem for finding a solution of the split common fixed point problem in Banach spaces. Using this result, we get well-known and new results which are connected with the split feasibility problem and the split common null point problem in Banach spaces.