Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 418971, 3 pages
doi:10.1155/2008/418971

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

Abstract

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