Common fixed points of -type contractive maps

One interesting technique for obtaining fixed point results is the technique of contractive conditions of integral type. ( ψ , ϕ ) -type contractive maps are introduced in order to generalize this technique. Some common fixed point results for ( ψ , ϕ ) -type contractive maps on metric spaces are proved. Finally, a result is also obtained concerning the discontinuity of ( ψ , ϕ ) -type contractive maps at their unique common fixed point.