coupled fixed point results for mixed weakly monotone mappings in partially ordered g-metric spaces

We introduce the concept of mixed weakly monotone mappings f, g : x × x → x with respect to a mapping h: x × x → x, where x is a partially ordered g-metric space.we establish b-coupled coincidence fixed point and b-common coupled fixed point theorems in such space. some examples are given to illustrate our obtained results and as an application, we give an existence theorem of common solutions for a system of integral equations. the presented theorems generalize and extend several well known comparable results in the literature.