Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 234717, 15 pages
doi:10.1155/2010/234717
Research Article

On a Suzuki Type General Fixed Point Theorem with Applications

S. L. Singh,1,2 H. K. Pathak,1,3 and S. N. Mishra1

1Department of Mathematics, Walter Sisulu University, Mthatha 5117, South Africa
221 Govind Nagar, Rishikesh 249201, India
3School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur 492010, India

Received 29 October 2010; Accepted 2 December 2010

Academic Editor: A. T. M. Lau

Copyright © 2010 S. L. Singh 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

The main result of this paper is a fixed-point theorem which extends numerous fixed point theorems for contractions on metric spaces and recently developed Suzuki type contractions. Applications to certain functional equations and variational inequalities are also discussed.