In this paper we study the weak and strong convergence of implicit iteration process to a common xed point for a nite family of asymptotically TJ mappings in Hilbert spaces. This paper is motivated by [Lin, Lai-Jiu; Chuang, Chih-Sheng; Yu, Zenn-Tsun Fixed point theorems for some new nonlinear mappings in Hilbert spaces, Fixed Point Theory Appl. (2011), 2011:51, 16 pp.].
