Abstract: In Hilbert spaces, a new hybrid projection method is proposed to approximate common fixed points of two quasi-nonexpansive mappings. A strong convergence theorem of the common fixed points is proved by using the quasi-nonexpansive mapping, the projection operator and other analysis techniques. Some numerical experiments are also included to explain the effectiveness of the proposed methods.

Key words: quasi-nonexpansive mappings, hybrid algorithms, strong convergence, Hilbert spaces