The purpose of this paper is to introduce and prove some coupled coincidence fixed point theorems for self mappings satisfying (𝜙 − 𝜓)-contractive condition with rational expressions on complete partially ordered metric spaces involving altering distance functions with mixed monotone property of the mapping. Our results improve and unify a multitude of coupled fixed point theorems and generalize some recent results in partially ordered metric space. An example is given to show the validity of our main result.

The main purpose of this paper is to introduce and prove some fixed point theorems for two maps that satisfy -contractive conditions with rational expression in partially ordered metric spaces, our results improve and unify a multitude of fixed point theorems and generalize some recent results in ordered partially metric space.