Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 916187, 6 pages
Research Article

Quasicontraction Mappings in Modular Spaces without Δ2-Condition

M. A. Khamsi

Department of Mathematical Science, The University of Texas at El Paso, El Paso, TX 79968, USA

Received 22 May 2008; Accepted 1 July 2008

Academic Editor: William A. Kirk

Copyright © 2008 M. A. Khamsi. 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.


As a generalization to Banach contraction principle, Ćirić introduced the concept of quasi-contraction mappings. In this paper, we investigate these kinds of mappings in modular function spaces without the Δ2-condition. In particular, we prove the existence of fixed points and discuss their uniqueness.