Journal of Applied Mathematics
Volume 2013 (2013), Article ID 821737, 7 pages
http://dx.doi.org/10.1155/2013/821737
Research Article

Approximation Analysis for a Common Fixed Point of Finite Family of Mappings Which Are Asymptotically -Strict Pseudocontractive in the Intermediate Sense

H. Zegeye1 and N. Shahzad2

1Department of Mathematics, University of Botswana, Private Bag 00704, Gaborone, Botswana
2Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Received 16 February 2013; Accepted 18 April 2013

Academic Editor: Luigi Muglia

Copyright © 2013 H. Zegeye and N. Shahzad. 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.

Abstract

We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous asymptotically -strict pseudocontractive mappings in the intermediate sense for . The projection of onto the intersection of closed convex sets and for each is not required. Moreover, the restriction that the interior of common fixed points is nonempty is not required. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.