Strong Convergence for a Finite Family of Generalized Asymptotically Nonexpansive Mappings
Zhihong Ma, Ru-Dond Chen · Physics Procedia · 2012
The purpose of this paper is to show the convergence theorems for generalized asymptotically nonexpansive mappings and asymptotically nonexpansive mappings in Banach spaces by using a new iteration which is a natural generalization of the implicit iteration. In the meantime, we give the necessary and sufficient conditions of the strong convergence to approximate a common fixed point and modify some flaw in the results of Thakur [11]. As one will see, the results presented in this paper are an extension of the corresponding results [8], [11].