Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 751090, 6 pages
doi:10.1155/2009/751090

On T-Stability of Picard Iteration in Cone Metric Spaces

M. Asadi1 , H. Soleimani1 , S.M. Vaezpour3 and B.E. Rhoades4

1Department of Mathematics, Science and Research Branch, Islamic Azad University (IAU), Tehran 14778 93855, Iran
 3Department of Mathematics, Amirkabir University of Technology, Tehran 15916 34311, Iran
 4Department of Mathematics, Indiana University, Bloomington, IN 46205, USA

Abstract

The aim of this work is to investigate the T-stability of Picard's iteration procedures in cone metric spaces and give an application.