Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 946178, 7 pages
doi:10.1155/2010/946178
Best Proximity Points of Cyclic φ-Contractions on Reflexive Banach Spaces
Sh. Rezapour1
, M. Derafshpour1
and N. Shahzad3
1Department of Mathematics, Azarbaidjan University of Tarbiat Moallem, Azarshahr, Tabriz, Iran
3Department of Mathematics, King AbdulAziz University, P.O. Box 80203, Jeddah 21859, Saudi Arabia
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.