... fixed point theorem for a commuting family of nonexpansive mappings,”Pacific Journal of Mathematics, vol. 53, pp. 59–71, 1974.10 R. DeMarr, “Common fixed points for commuting contraction mappings,” ... nonexpansive non-linear mappings in Banach spaces,” Archive for Rational Mechanics and Analysis, vol. 24, pp. 82–90, 1967.4 S. Reich, “Weak convergence theorems for nonexpansive mappings in Banach ... Then the inequality lim infnxn− z≤lim infnxn− z0 implies z z0.We generalize Theorem 1.2.Hindawi Publishing CorporationFixed Point Theory and ApplicationsVolume 2010, Article...