Journal of Applied Mathematics
Volume 2012 (2012), Article ID 782389, 7 pages
http://dx.doi.org/10.1155/2012/782389
Research Article

Best Periodic Proximity Points for Cyclic Weaker Meir-Keeler Contractions

Chiming Chen and Chingju Lin

Department of Applied Mathematics, National Hsinchu University of Education, 521 Nan-Dah Road, Hsinchu City 30033, Taiwan

Received 30 January 2012; Revised 8 April 2012; Accepted 11 April 2012

Academic Editor: Song Cen

Copyright © 2012 Chiming Chen and Chingju 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

The purpose of this paper is to present the existence of the best period proximity point for cyclic weaker Meir-Keeler contractions and asymptotic cyclic weaker Meir-Keeler contractions in metric spaces.