Some results on convergence and existence of best proximity points

In this paper, we introduce generalized cyclic φ-contraction maps in metric spaces and give some results of best proximity points of such mappings in the setting of a uniformly convex Banach space. Moreover, we obtain convergence and existence results of proximity points of the mappings on reflexive Banach spaces

Keywords:

Best proximity point , Generalized cyclic φ-contraction map.Best proximity point , Proximal property , Generalized cyclic φ-contraction map