Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 412898, 12 pages
doi:10.1155/2009/412898
Some new weakly contractive type multimaps and fixed point results in metric spaces
Abdul Latif1
and Afrah A.N. Abdou2
1Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2Department of Mathematics, Science Faculty For Girls, King Abdulaziz University, P.O. Box 14884, Jeddah 21434, Saudi Arabia
Abstract
Some new weakly contractive type multimaps in the setting of metric spaces are introduced, and we prove some results on the existence of fixed points for such maps under certain conditions. Our results extend and improve several known results including the corresponding recent fixed point results of Pathak and Shahzad (2009), Latif and Abdou (2009), Latif and Albar (2008), Cirić (2008), Feng and Liu (2006), and Klim and Wardowski (2007).