Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 20962, 12 pages
doi:10.1155/2007/20962
Fixed points of weakly contractive maps and boundedness of orbits
Jie-Hua Mai1
and Xin-He Liu2
1Institute of Mathematics, Shantou University, Shantou, Guangdong 515063, China
2Institute of Mathematics, Guangxi University, Nanning, Guangxi 530004, China
Abstract
We discuss weakly contractive maps on complete metric spaces. Following three methods of generalizing the Banach contraction principle, we obtain some fixed point theorems under some relatively weaker and more general contractive conditions.