Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 487161, 9 pages
doi:10.1155/2009/487161
Research Article

Fixed Points of Generalized Contractive Maps

1Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2Girls College of Education, King Abdulaziz University, P.O. Box 55002, Jeddah, Saudi Arabia

Received 13 October 2008; Accepted 27 January 2009

Academic Editor: Hichem Ben-El-Mechaiekh

Copyright © 2009 Abdul Latif and Afrah A. N. Abdou. 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 prove some results on the existence of fixed points for multivalued generalized w-contractive maps not involving the extended Hausdorff metric. Consequently, several known fixed point results are either generalized or improved.