Open Access

Fixed Points of Weakly Contractive Maps and Boundedness of Orbits

Fixed Point Theory and Applications20072007:020962

https://doi.org/10.1155/2007/20962

Received: 10 October 2006

Accepted: 31 January 2007

Published: 20 May 2007

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.

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Authors’ Affiliations

(1)
Institute of Mathematics, Shantou University
(2)
Institute of Mathematics, Guangxi University

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Copyright

© J.-H. Mai and X.-H. Liu. 2007

This article is published under license to BioMed Central Ltd. 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.