Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 418971, 4 pages
-Stability of Picard Iteration in Metric Spaces
1Department of Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
2Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA
Received 10 July 2007; Accepted 11 January 2008
Academic Editor: Hélène Frankowska
Copyright © 2008 Yuan Qing and B. E. Rhoades. 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 establish a general result for the stability of Picard's iteration. Several theorems in the literature are
obtained as special cases.