Coupled fixed point theorems for nonlinear contractions without mixed monotone property

@inproceedings{Sintunavarat2012CoupledFP,
title={Coupled fixed point theorems for nonlinear contractions without mixed monotone property},
author={Wutiphol Sintunavarat and Poom Kumam and Yeol Je Cho},
year={2012}
}

In this paper, we show the existence of a coupled fixed point theorem of nonlinear contraction mappings in complete metric spaces without the mixed monotone property and give some examples of a nonlinear contraction mapping, which is not applied to the existence of coupled fixed point by using the mixed monotone property. We also study the necessary condition for the uniqueness of a coupled fixed point of the given mapping. Further, we apply our results to the existence of a coupled fixed point… CONTINUE READING