BEST PROXIMITY POINTS FOR CYCLIC L-CONTRACTIONS

In this paper, we introduce the notion of cyclic L-contractionas a generalization notion of cyclic Meir-Keeler contraction and prove theexistence of a best proximity point for these class of functions in the frame-work of metric spaces with property UC. Also we get an extention ofSuzuki, Kikkawa and Vetro s Theorem.

Keywords:

Fixed points , Best proximity points , Cyclic Meir-Keeler contractions , cyclic L-contractions , Property UC