Journal of Applied Mathematics
Volume 2012 (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 𝑤 -Distances

Hossein Lakzian1 and Ing-Jer Lin2

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 ( 𝜑 , 𝜓 , 𝑝 ) -contractive maps and ( 𝜑 , 𝑘 , 𝑝 ) -contractive maps on a complete metric space are proved. Presented fixed point theorems generalize many results existing in the literature.