best proximity point theorems for cyclic orbital meir–keeler contraction maps

we introduce a notion of cyclic orbital meir–keeler contraction and give sufficient conditions for the existence of fixed points and best proximity points of such a map. our main result is a generalization of a best proximity point result due to di bari et al. [c. di bari, t. suzuki, c. vetro, best proximity points for cyclic meir–keeler contractions, nonlinear anal. 69 (2008) 3790–3794].