Simultaneous iterative algorithm for the split equality fixed-point problem of demicontractive mappings

In this paper, we investigate a new simultaneous iterative algorithm for the split equality fixedpoint problem of demicontractive mappings in real Hilbert spaces and obtain a strong convergence result with no compactness assumptions on the spaces or the mappings and with no extra conditions on the fixed point sets. The results obtained in this paper generalize and improve the recent ones announced by many others.