φ-BEST PROXIMITY POINT THEOREMS IN METRIC SPACES WITH APPLICATIONS IN PARTIAL METRIC SPACE

Özet

In this paper, we introduce the notions of (F,φ,θ)-proximal contractionand (F,φ,θ)-weak proximal contraction for non-self mappings and utilize the same toprove some existence and uniqueness ofφ-best proximity point for such mappings. Someillustrative examples are also given to exhibit the utility of our results. As an applicationof the concept ofφ-best proximity point, we deduce some best proximity point theoremsin the context of partial metric spaces.