Coupled common fixed point results involving (Φ,Ψ)-contractions in ordered generalized metric spaces with application to integral equations

Abstract

We establish some coupled coincidence and coupled common fixed point theorems for the mixed g-monotone mappings satisfying (Φ,Ψ)-contractive conditions in the setting of ordered generalized metric spaces. Presented theorems extend and generalize the very recent results of Choudhury and Maity (Math. Comput. Model. 54(1-2):73-79, 2011). To illustrate our results, an example and an application to integral equations have also been given.