International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 15, Pages 2359-2364
doi:10.1155/IJMMS.2005.2359

A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type

P. Vijayaraju,1 B. E. Rhoades,2 and R. Mohanraj1

1Department of Mathematics, Anna University, Chennai 600 025, India
2Department of Mathematics, Indiana University, Bloomington 47405-7106, IN, USA

Received 18 October 2004; Revised 20 July 2005

Copyright © 2005 P. Vijayaraju 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 give a general condition which enables one to easily establish fixed point theorems for a pair of maps satisfying a contractive inequality of integral type.