Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 432130, 16 pages
doi:10.1155/2009/432130
Research Article

Fixed Point Results for Generalized Contractive Multimaps in Metric Spaces

Abdul Latif1 and Afrah A. N. Abdou2

1Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2Girls College of Education, King Abdulaziz University, P.O. Box 14884, Jeddah 21434, Saudi Arabia

Received 17 May 2009; Accepted 10 August 2009

Academic Editor: Mohamed A. Khamsi

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

The concept of generalized contractive multimaps in the setting of metric spaces is introduced, and the existence of fixed points for such maps is guaranteed under certain conditions. Consequently, our results either generalize or improve a number of fixed point results including the corresponding recent fixed point results of Ciric (2008), Latif-Albar (2008), Klim-Wardowski (2007), and Feng-Liu (2006). Examples are also given.