N. Seshagiri Rao - Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No.۱۸۸۸, Adama, Ethiopia.
K. Kalyani - Department of Mathematics, Vignan&#۰۳۹;s Foundation for Science, Technology & Research, Vadlamudi-۵۲۲۲۱۳, Andhra Pradesh, India.

The aim of this paper is to prove some coupled fixed point  theorems of  a self mapping satisfying a certain rational type contraction along with  strict mixed monotone property in an ordered metric space. Further, a result  is presented for the uniqueness of a coupled fixed point under an order relation in a space. These results generalize and extend known existing results in the literature.

Ordered metric space, Monotone property, Rational type contraction, Coupled fixed point