Abstract and Applied Analysis
Volume 2007 (2007), Article ID 40575, 10 pages
doi:10.1155/2007/40575
Research Article

Fixed Points of Nonlinear and Asymptotic Contractions in the Modular Space

A. Razani,1,2 E. Nabizadeh,3 M. Beyg Mohamadi,3 and S. Homaei Pour3

1Department of Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box 34194-288, Qazvin, Iran
2Institute for Studies in Theoretical Physics and Mathematics (IPM), P.O. Box 19395-5531, Tehran, Iran
3Department of Mathematics, Iran University of Science and Technology, Tehran 16844, Iran

Received 24 September 2006; Revised 25 November 2006; Accepted 15 February 2007

Academic Editor: William Art Kirk

Copyright © 2007 A. Razani 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

A fixed point theorem for nonlinear contraction in the modular space is proved. Moreover, a fixed point theorem for asymptotic contraction in this space is studied.