International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 530964, 11 pages
Research Article

On Multistep Iterative Scheme for Approximating the Common Fixed Points of Contractive-Like Operators

Mathematics Department, University of Lagos, Lagos, Nigeria

Received 11 November 2009; Revised 15 January 2010; Accepted 22 January 2010

Academic Editor: Manfred H. Moller

Copyright © 2010 J. O. Olaleru and H. Akewe. 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 the Jungck-multistep iteration and show that it converges strongly to the unique common fixed point of a pair of weakly compatible generalized contractive-like operators defined on a Banach space. As corollaries, the results show that the Jungck-Mann, Jungck-Ishikawa, and Jungck-Noor iterations can also be used to approximate the common fixed points of such maps. The results are improvements, generalizations, and extensions of the work of Olatinwo and Imoru (2008), Olatinwo (2008). Consequently, several results in literature are generalized.