Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 393245, 9 pages
doi:10.1155/2009/393245
Review Article

T-Stability Approach to Variational Iteration Method for Solving Integral Equations

R. Saadati,1 S. M. Vaezpour,1 and B. E. Rhoades2

1Department of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, Iran
2Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA

Received 16 February 2009; Accepted 26 August 2009

Academic Editor: Nan-jing Huang

Copyright © 2009 R. Saadati et al. 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 consider T-stability definition according to Y. Qing and B. E. Rhoades (2008) and we show that the variational iteration method for solving integral equations is T-stable. Finally, we present some text examples to illustrate our result.