Coupled coincidence point theorems for mappings without mixed monotone property under c-distance in cone metric spaces

Fixed point theory in the eld of partially ordered metric spaces has been an area of attraction since the appearance of Ran and Reurings theorem and Nieto and Rodrguez-Lopez theorem. One of the most signi cant hypotheses of these theorems was the mixed monotone property which has been avoided and replaced by the notion of invariant set in recent years and many statements have been proved using the concept of invariant set. In this paper we show that the invariant condition guides us to prove many similar results to which we were exposed to using the mixed monotone property. We present some examples in support of applicability of our results.