Strong Convergence Theorem for a Family of Quasi-nonexpansive Mappings

A new hybrid projection iterative algorithm is introduced for constructing common fixed points of a family of closed quasi-nonexpansive mappings in a Hilbert space.Using the proposed new hybrid projection iterative algorithm,a strong convergence theorem of common fixed points for a family of quasi-nonexpansive mappings is proved,and the results of this paper improve some existing relative results.