Journal of Applied Mathematics
Volume 2012, Article ID 161470, 11 pages
http://dx.doi.org/10.1155/2012/161470
Research Article
The Existence of Fixed Points for Nonlinear Contractive Maps in Metric Spaces with -Distances
1Department of Mathematics, Payame Noor University, Tehran 19395-4697, Iran
2Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 824, Taiwan
Received 20 November 2011; Accepted 4 December 2011
Academic Editor: Yeong-Cheng Liou
Copyright © 2012 Hossein Lakzian and Ing-Jer Lin. 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.
Abstract
Some fixed point theorems for -contractive maps and -contractive maps on a complete metric space are proved. Presented fixed point theorems generalize many results existing in the literature.