We introduce a notion of cyclic Meir–Keeler contractions and prove a theorem which assures the existence and uniqueness of a best proximity point for cyclic Meir–Keeler contractions. This theorem is a generalization of a recent result due to Eldred and Veeramani.
Di Bari, C., Suzuki, T., Vetro, C. (2008). Best proximity points for cyclic Meir–Keeler contractions. NONLINEAR ANALYSIS, 69(11), 3790-3794 [10.1016/j.na.2007.10.014].
Best proximity points for cyclic Meir–Keeler contractions
DI BARI, Cristina;VETRO, Calogero
2008-01-01
Abstract
We introduce a notion of cyclic Meir–Keeler contractions and prove a theorem which assures the existence and uniqueness of a best proximity point for cyclic Meir–Keeler contractions. This theorem is a generalization of a recent result due to Eldred and Veeramani.
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