Strong convergence of a general algorithm for nonexpansive mappings in Banach spaces
Shuang Wang · Fixed Point Theory and Applications · 2012
In this work, we consider a general algorithm for a countable family of nonexpansive mappings in Banach spaces. We proved that the proposed algorithm converges strongly to a common fixed point of a countable family of nonexpansive mappings which solves uniquely the corresponding variational inequality. It is worth pointing out that our proofs contain some new techniques. Our results improve and extend the corresponding ones announced by many others. MSC: 47H05, 47H09, 47H10.