Best Proximity Points for Generalized Proxinal C-Contraction Mappings in Metric Spaces with Partial Orders

In this paper we extend the notion of weakly $C$-contraction mappings to the case of non-self mappings and establish the best proximity point theorems for this classes. Our results generalize a result due to Harjani, L$\acute{o}$pez, Sadarangani (2011) and some authors.