Implicit iteration process for common fixed points of an infinite family of strictly pseudocontractive mappings in Banach spaces

摘要

Some convergence theorems for approximating to a common fixed point of an infinite family of strictly pseudocontractive mappings of Browder-Petryshyn type are proved in the setting of Banach spaces by using a new composite implicit iterative process with errors. The results presented in the paper generalize and improve the main results of Bai and Kim cite{1}, Gu cite{4}, Osilike cite{5}, Su and Li cite{7}, and Xu and Ori cite{8}.