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