Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 804734, 8 pages
doi:10.1155/2009/804734
Research Article

Some Common Fixed Point Theorems for Weakly Compatible Mappings in Metric Spaces

M. A. Ahmed

Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt

Received 23 October 2008; Accepted 18 January 2009

Academic Editor: William A. Kirk

Copyright © 2009 M. A. Ahmed. 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 establish a common fixed point theorem for weakly compatible mappings generalizing a result of Khan and Kubiaczyk (1988). Also, an example is given to support our generalization. We also prove common fixed point theorems for weakly compatible mappings in metric and compact metric spaces.