NEW BEST PROXIMITY RESULTS ON PARTIAL ORDERED METRIC SPACES

In this paper, by using the concept of proximal admissible mappings, we discus the existence of best proximity points for new class of non-self mappings satisfying a nonlinear contraction involving a new class of functions in the setting of partial ordered metric spaces. We show that many known results in the literature are simple consequences of our obtained results. We also provide some concrete examples illustrating the obtained results.