Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 315398, 7 pages
doi:10.1155/2010/315398
Research Article

Remarks on Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings

Mohamed A. Khamsi1,2

1Department of Mathematical Science, The University of Texas at El Paso, El Paso, TX 79968, USA
2Department of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, P.O. Box 411, Dhahran 31261, Saudi Arabia

Received 20 March 2010; Accepted 4 May 2010

Academic Editor: W. A. Kirk

Copyright © 2010 Mohamed 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.

Abstract

We discuss the newly introduced concept of cone metric spaces. We also discuss the fixed point existence results of contractive mappings defined on such metric spaces. In particular, we show that most of the new results are merely copies of the classical ones.