Austine Ofem - Department of Mathematics, University of Uyo, Uyo, Nigeria.
Donatus Igbokwe - Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Nigeria.

In this paper, we introduce a three-step implicit iteration scheme with errors for finite families of nonexpansive and uniformly L-Lipschitzian asymptotically generalized \Phi-hemicontractive mappings in real Banach spaces. Our new implicit iterative scheme properly includes several well known iterative schemes in the literature as its special cases. The results presented in this paper extend, generalize and improve well known results in the existing literature.

Fixed point, Nonexpasive mapping, Uniformly L--Lipschitzian asymptotically generalized Phi-Hemicontractive mapping, strong convergence, Banach spaces, Normalized duality mapping