A general iterative method for obtaining an infinite family of strictly pseudo-contractive mappings in Hilbert spaces

In this work, we consider a general composite iterative method for obtaining an infinite family of strictly pseudo-contractive mappings in Hilbert spaces. It is proved that the sequence generated by the iterative scheme converges strongly to a common point of the set of fixed points, which solves the variational inequality 〈(γf−μF)q,p−q〉≤0,forp∈∩i=1∞F(Ti). Our results improve and extend corresponding ones announced by many others.