Fixed Point Theory and Applications 
Volume 2008 (2008), Article ID 418971, 4 pages
doi:10.1155/2008/418971
Research Article

T-Stability of Picard Iteration in Metric Spaces

Yuan Qing1 and B. E. Rhoades2

 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

Recommended by Hélène Frankowska

Abstract

We establish a general result for the stability of Picard's iteration. Several theorems in the literature are obtained as special cases.