Summary: The purpose in this paper is to prove strong convergence to a common solution for a finite family of accretive operators in a strictly convex Banach space by means of a new iterative algorithm, thus generalizing and extending the results of [T.-H. Kim
and H.-K. Xu
, Nonlinear Anal., Theory Methods Appl. 61, No. 1–2, A, 51–60 (2005; Zbl 1091.47055
)] and [H. Zegeye
and N. Shahzad
, ibid. 66, No. 5, A, 1161–1169 (2007; Zbl 1120.47061
)]. Furthermore, strong convergence to a common fixed point is discussed for a finite family of pseudocontractive mappings under certain conditions.