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.