Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 946178, 7 pages
doi:10.1155/2010/946178
Research Article

Best Proximity Points of Cyclic φ-Contractions on Reflexive Banach Spaces

Sh. Rezapour,1 M. Derafshpour,1 and N. Shahzad2

1Department of Mathematics, Azarbaidjan University of Tarbiat Moallem, Azarshahr, Tabriz, Iran
2Department of Mathematics, King AbdulAziz University, P.O. Box 80203, Jeddah 21859, Saudi Arabia

Received 8 July 2009; Revised 4 January 2010; Accepted 12 January 2010

Academic Editor: Juan Jose Nieto

Copyright © 2010 Sh. Rezapour et al. 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

We provide a positive answer to a question raised by Al-Thagafi and Shahzad (Nonlinear Analysis, 70 (2009), 3665-3671) about best proximity points of cyclic φ-contractions on reflexive Banach spaces.