Abstract and Applied Analysis
Volume 2007 (2007), Article ID 40575, 10 pages
doi:10.1155/2007/40575
Fixed points of nonlinear and asymptotic contractions in the modular space
A. Razani1
, E. Nabizadeh2
, M.Beyg Mohamadi2
and S.Homaei Pour2
1Department of Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box 34194-288, Qazvin, Iran
2Department of Mathematics, Iran University of Science and Technology, Tehran 16844, Iran
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.