Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 20962, 12 pages
Research Article

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

Received 10 October 2006; Revised 8 January 2007; Accepted 31 January 2007

Academic Editor: William Art Kirk

Copyright © 2007 Jie-Hua Mai and Xin-He Liu. 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.


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.