Open Access

T-Stability of Picard Iteration in Metric Spaces

Fixed Point Theory and Applications20082008:418971

https://doi.org/10.1155/2008/418971

Received: 10 July 2007

Accepted: 11 January 2008

Published: 23 January 2008

Abstract

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

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Authors’ Affiliations

(1)
Department of Mathematics, Beijing University of Aeronautics and Astronautics
(2)
Department of Mathematics, Indiana University

Copyright

© Y. Qing and B. E. Rhoades. 2008

This article is published under license to BioMed Central Ltd. 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.