Some coupled common fixed point theorems for a pair of mappings satisfying a contractive condition of rational type

The purpose of this paper is to establish some coupled coincidence point theorems for a pair of mappings having a mixed g -monotone property satisfying a contractive condition of rational type in the framework of partially ordered metric spaces. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend several well-known results in the literature.