The purpose of this read more paper is to propose an algorithm for solving the split common fixed point problems for total asymptotically strictly pseudocontractive mappings in infinite-dimensional Hilbert spaces.The results presented in the paper improve and extend some recent results of Moudafi (2011 and 2010), Xu (2010 pomyslnaszycie.com and 2006), Censor and Segal (2009), Censor et al.(2005), Masad and Reich (2007), Censor et al.(2007), Yang (2004), and others.