Open Access Research Article

-Stability of Picard Iteration in Metric Spaces

Yuan Qing1* and BE Rhoades2

Author Affiliations

1 Department of Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

2 Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA

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Fixed Point Theory and Applications 2008, 2008:418971 doi:10.1155/2008/418971


The electronic version of this article is the complete one and can be found online at: http://www.fixedpointtheoryandapplications.com/content/2008/1/418971


Received:10 July 2007
Accepted:11 January 2008
Published:23 January 2008

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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.

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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