Common fixed points in cone metric spaces for $MK$-pairs and $L$-pairs

In this paper we introduce some contractive conditions of Meir-Keeler type for a pair of mappings, called $MK$-$pair$ and $L\textrm{-}pair$, in the framework of cone metric spaces and we prove theorems which assure existence and uniqueness of common fixedpoints for $MK$-$pairs$ and $L \textrm{-}pairs$. As an application we obtain a result of common fixed point of a $p$-$MK$-pair, amapping and a multifunction, in complete cone metric spaces. These results extend and generalize well-known comparable results in the literature.