COUPLED FIXED POINTS OF GERAGHTY-TYPE MAPPINGS IN G-METRIC SPACES

In this paper we prove some coupled fixed point theorems for Geraghty-type mappings having mixed monotone property and depending on another function in Gmetric spaces. Moreover, we prove the uniqueness of the coupled fixed point. Our results generalize several comparable results in the literature. We also give some examples to prove the validity of our results. At the end, application to a certain class of non-linear integral equations is also obtained.