International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 317107, 10 pages
doi:10.1155/2010/317107
Research Article

Two Fixed-Point Theorems for Mappings Satisfying a General Contractive Condition of Integral Type in the Modular Space

Maryam Beygmohammadi1 and Abdolrahman Razani2

1Department of Mathematics, Islamic Azad University-Kermanshah Branch, Iran
2Department of Mathematics, Faculty of Science, Imam Khomeini International University, Iran

Received 16 February 2010; Revised 22 July 2010; Accepted 28 October 2010

Academic Editor: Oscar Blasco

Copyright © 2010 Maryam Beygmohammadi and Abdolrahman Razani. 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

First we prove existence of a fixed point for mappings defined on a complete modular space satisfying a general contractive inequality of integral type. Then we generalize fixed-point theorem for a quasicontraction mapping given by Khamsi (2008) and Ciric (1974).