Coupled Coincidence and Coupled Common Fixed Point Results of Mixed Monotone Mappings in the setting of Partially Ordered Metric Spaces

Abstract

In this paper, the existence and uniqueness of coupled coincidence and coupled common fixed point of mixed monotone mappings in  the setting of partially ordered metric spaces has been proved. Our results extend and generalize several well-known comparable results  in the literature. An example is also provided in support of our main result.