International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 769467, 7 pages
doi:10.1155/2009/769467
Research Article

Fixed Points for w-Contractive Multimaps

Abdul Latif and Marwan A. Kutbi

Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Received 3 February 2009; Accepted 4 March 2009

Academic Editor: Jerzy Dydak

Copyright © 2009 Abdul Latif and Marwan A. Kutbi. 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

Using the generalized Caristi's fixed point theorems we prove the existence of fixed points for self and nonself multivalued weakly w-contractive maps. Consequently, Our results either improve or generalize the corresponding fixed point results due to Latif (2007), Bae (2003), Suzuki, and Takahashi (1996) and others.