Journal of Applied Mathematics
Volume 2013 (2013), Article ID 649537, 7 pages
Research Article

New Iterative Algorithm for Two Infinite Families of Multivalued Quasi-Nonexpansive Mappings in Uniformly Convex Banach Spaces

Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China

Received 30 November 2012; Accepted 14 May 2013

Academic Editor: D. R. Sahu

Copyright © 2013 Fang Zhang 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.


We introduce a new iterative scheme for finding a common fixed point of two countable families of multivalued quasi-nonexpansive mappings and prove a weak convergence theorem under the suitable control conditions in a uniformly convex Banach space. We also give a new proof method to the iteration in the paper of Abbas et al. (2011).