Best Proximity Point Results for Multivalued Non-Self Mappings in O-Complete Metric Space

The main objective of this paper is to find the sufficient conditions for the existence of best proximity points for multivalued non-self mapping in the setting of O-complete metric space. We prove the existence of best proximity point by introducing the new concept called proximal relation in O-sets along with various contraction conditions on multivalued non-self mappings. In addition, we provide an example to support our main result.