Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 452905, 18 pages
doi:10.1155/2010/452905
Research Article

Remarks on Recent Fixed Point Theorems

S. L. Singh and S. N. Mishra

Department of Mathematics, School of Mathematical & Computational Sciences, Walter Sisulu University, Nelson Mandela Drive, Mthatha 5117, South Africa

Received 10 October 2009; Revised 11 February 2010; Accepted 27 April 2010

Academic Editor: Tomonari Suzuki

Copyright © 2010 S. L. Singh and S. N. Mishra. 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

Coincidence and fixed point theorems for a new class of contractive, nonexpansive and hybrid contractions are proved. Applications regarding the existence of common solutions of certain functional equations are also discussed.