The new composite implicit iterative process with errors for common fixed points of a finite family of strictly pseudocontractive mappings

Abstract Convergence theorems for approximation of common fixed points of strictly pseudocontractive mappings of Browder–Petryshyn type are proved in Banach spaces using a new composite implicit iteration scheme with errors. The results presented in this paper generalize and improve the corresponding results of M.O. Osilike [M.O. Osilike, Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps, J. Math. Anal. Appl. 294 (2004) 73–81].