  In this paper, we introduce a new problem called the split feasibility and
fixed point equality problems (SFFPEP) and propose a new iterative algorithm
for solving the problem (SFFPEP) for the class of quasi-nonexpansive mappings
in Hilbert spaces. Furthermore, we study the convergence of the proposed
algorithm. At the end, we give numerical example that illustrate our
theoretical result. The SFFPEP is a generalization of the split feasibility
problem (SFP), split feasibility and fixed point problems (SFFPP) and split
equality fixed point problem (SEFPP).
