College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, China
Academic Editor: Joaquim J. Júdice
Copyright © 2009 Lin Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let be a real uniformly convex Banach space, and let be nonexpansive
mappings from into itself with , where . From an arbitrary initial point , hybrid iteration scheme is defined as follows: , , where is an -Lipschitzian
mapping, , , , , , and for some . Under some suitable conditions, the strong and weak
convergence theorems of to a common fixed point of the mappings are obtained. The results presented in this paper extend and improve
the results of Wang (2007) and partially improve the results of Osilike, Isiogugu, and Nwokoro